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Interior Angle Sum Of A Polygon #2 The Interior Angles Of Polygons Sum Of The Interior Angles In A

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Interior Angle Sum Of A Polygon #2 The Interior Angles Of Polygons Sum Of The Interior Angles In A

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Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

Angle

an•gle1  (anggəl),USA pronunciation n., v.,  -gled, -gling. 
n. 
  1. [Geom.]
    • the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line.
    • the figure so formed.
    • the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in radians or in degrees, minutes, and seconds, as in 12° 10prime;
      30ʺ, which is read as 12 degrees, 10 minutes, and 30 seconds.
  2. an angular projection;
    a projecting corner: the angles of a building.
  3. a viewpoint;
    standpoint: He looked at the problem only from his own angle.
    • slant (def. 11).
    • the point of view from which copy is written, esp. when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle.
  4. one aspect of an event, problem, subject, etc.: The accountant emphasized the tax angle of the leasing arrangement.
  5. [Motion Pictures, Photog.]See  angle shot. 
  6. [Informal.]a secret motive: She's been too friendly lately—what's her angle?
  7. any of the four interceptions of the equatorial circle by the two basic axes, the horizon and the meridian: commonly identified by the compass directions.
  8. See  angle iron (def. 2).
  9. [Slang.]play the angles, to use every available means to reach one's goal: A second-rate talent can survive only by playing all the angles.

v.t. 
  1. to move or bend in an angle.
  2. to set, fix, direct, or adjust at an angle: to angle a spotlight.
  3. to write or edit in such a way as to appeal to a particular audience;
    slant: She angled her column toward teenagers.

v.i. 
  1. to turn sharply in a different direction: The road angles to the right.
  2. to move or go in angles or at an angle: The trout angled downstream.

Sum

sum (sum),USA pronunciation  n., v.,  summed, sum•ming. 

n. 
  1. the aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14.
  2. a particular aggregate or total, esp. with reference to money: The expenses came to an enormous sum.
  3. an indefinite amount or quantity, esp. of money: to lend small sums.
  4. a series of numbers or quantities to be added up.
  5. an arithmetical problem to be solved, or such a problem worked out and having the various steps shown.
  6. the full amount, or the whole.
  7. the substance or gist of a matter, comprehensively or broadly viewed or expressed: the sum of his opinions.
  8. concise or brief form: in sum.
    • the limit of the sequence of partial sums of a given infinite series.
    • union (def. 10a).
  9. a summary.

v.t. 
  1. to combine into an aggregate or total (often fol. by up).
  2. to ascertain the sum of, as by addition.
  3. to bring into or contain in a small compass (often fol. by up).

v.i. 
  1. to amount (usually fol. by to or into): Their expenses summed into the thousands.
  2. sum up: 
    • to reckon: We summed up our assets and liabilities.
    • to bring into or contain in a brief and comprehensive statement;
      summarize: to sum up the case for the prosecution.
    • to form a quick estimate of: I summed him up in a minute.
sumless, adj. 
sumless•ness, n. 

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Polygon

pol•y•gon (polē gon′),USA pronunciation n. 
  1. a figure, esp. a closed plane figure, having three or more, usually straight, sides. See illus. under  heptagon, hexagon, octagon, pentagon, quadrilateral, triangle. 

The

the1  (stressed ᵺē; unstressed before a consonant ᵺə;
unstressed before a vowel ᵺē),USA pronunciation
 definite article. 
  1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
  2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
    the Alps;
    theQueen Elizabeth;
    the past; the West.
  3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
  4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
  5. (used to mark a noun as being used generically): The dog is a quadruped.
  6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
  7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
  8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
  9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
  10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
  11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
  12. (used distributively, to note any one separately) for, to, or in each;
    a or an: at one dollar the pound.

Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Sum

sum (sum),USA pronunciation  n., v.,  summed, sum•ming. 

n. 
  1. the aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14.
  2. a particular aggregate or total, esp. with reference to money: The expenses came to an enormous sum.
  3. an indefinite amount or quantity, esp. of money: to lend small sums.
  4. a series of numbers or quantities to be added up.
  5. an arithmetical problem to be solved, or such a problem worked out and having the various steps shown.
  6. the full amount, or the whole.
  7. the substance or gist of a matter, comprehensively or broadly viewed or expressed: the sum of his opinions.
  8. concise or brief form: in sum.
    • the limit of the sequence of partial sums of a given infinite series.
    • union (def. 10a).
  9. a summary.

v.t. 
  1. to combine into an aggregate or total (often fol. by up).
  2. to ascertain the sum of, as by addition.
  3. to bring into or contain in a small compass (often fol. by up).

v.i. 
  1. to amount (usually fol. by to or into): Their expenses summed into the thousands.
  2. sum up: 
    • to reckon: We summed up our assets and liabilities.
    • to bring into or contain in a brief and comprehensive statement;
      summarize: to sum up the case for the prosecution.
    • to form a quick estimate of: I summed him up in a minute.
sumless, adj. 
sumless•ness, n. 

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

The

the1  (stressed ᵺē; unstressed before a consonant ᵺə;
unstressed before a vowel ᵺē),USA pronunciation
 definite article. 
  1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
  2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
    the Alps;
    theQueen Elizabeth;
    the past; the West.
  3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
  4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
  5. (used to mark a noun as being used generically): The dog is a quadruped.
  6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
  7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
  8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
  9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
  10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
  11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
  12. (used distributively, to note any one separately) for, to, or in each;
    a or an: at one dollar the pound.

Interior

in•te•ri•or (in tērē ər),USA pronunciation adj. 
  1. being within; inside of anything;
    internal;
    inner;
    further toward a center: the interior rooms of a house.
  2. of or pertaining to that which is within;
    inside: an interior view.
  3. situated well inland from the coast or border: the interior towns of a country.
  4. of or pertaining to the inland.
  5. domestic: interior trade.
  6. private or hidden;
    inner: interior negotiations of the council.
  7. pertaining to the mind or soul;
    mental or spiritual: the interior life.

n. 
  1. the internal or inner part;
    inside.
    • the inside part of a building, considered as a whole from the point of view of artistic design or general effect, convenience, etc.
    • a single room or apartment so considered.
  2. a pictorial representation of the inside of a room.
  3. the inland parts of a region, country, etc.: the Alaskan interior.
  4. the domestic affairs of a country as distinguished from its foreign affairs: the Department of the Interior.
  5. the inner or inward nature or character of anything.
  6. the largest open set contained in a given set, as the points in a circle not including the boundary.

In

in (in),USA pronunciation prep., adv., adj., n., v.,  inned, in•ning. 
prep. 
  1. (used to indicate inclusion within space, a place, or limits): walking in the park.
  2. (used to indicate inclusion within something abstract or immaterial): in politics; in the autumn.
  3. (used to indicate inclusion within or occurrence during a period or limit of time): in ancient times; a task done in ten minutes.
  4. (used to indicate limitation or qualification, as of situation, condition, relation, manner, action, etc.): to speak in a whisper; to be similar in appearance.
  5. (used to indicate means): sketched in ink; spoken in French.
  6. (used to indicate motion or direction from outside to a point within) into: Let's go in the house.
  7. (used to indicate transition from one state to another): to break in half.
  8. (used to indicate object or purpose): speaking in honor of the event.
  9. in that, because;
    inasmuch as: In that you won't have time for supper, let me give you something now.

adv. 
  1. in or into some place, position, state, relation, etc.: Please come in.
  2. on the inside;
    within.
  3. in one's house or office.
  4. in office or power.
  5. in possession or occupancy.
  6. having the turn to play, as in a game.
  7. [Baseball.](of an infielder or outfielder) in a position closer to home plate than usual;
    short: The third baseman played in, expecting a bunt.
  8. on good terms;
    in favor: He's in with his boss, but he doubts it will last.
  9. in vogue;
    in style: He says straw hats will be in this year.
  10. in season: Watermelons will soon be in.
  11. be in for, to be bound to undergo something, esp. a disagreeable experience: We are in for a long speech.
  12. in for it, [Slang.]about to suffer chastisement or unpleasant consequences, esp. of one's own actions or omissions: I forgot our anniversary again, and I'll be in for it now.Also,[Brit.,] for it. 
  13. in with, on friendly terms with;
    familiar or associating with: They are in with all the important people.

adj. 
  1. located or situated within;
    inner;
    internal: the in part of a mechanism.
  2. [Informal.]
    • in favor with advanced or sophisticated people;
      fashionable;
      stylish: the in place to dine; Her new novel is the in book to read this summer.
    • comprehensible only to a special or ultrasophisticated group: an in joke.
  3. well-liked;
    included in a favored group.
  4. inward;
    incoming;
    inbound: an in train.
  5. plentiful;
    available.
  6. being in power, authority, control, etc.: a member of the in party.
  7. playing the last nine holes of an eighteen-hole golf course (opposed to out): His in score on the second round was 34.

n. 
  1. Usually,  ins. persons in office or political power (distinguished from outs).
  2. a member of the political party in power: The election made him an in.
  3. pull or influence;
    a social advantage or connection: He's got an in with the senator.
  4. (in tennis, squash, handball, etc.) a return or service that lands within the in-bounds limits of a court or section of a court (opposed to out).

v.t. Brit. [Dial.]
  1. to enclose.

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