# Polygon Interior Angle Sum Theorem

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polygon

As noun

a figure, especially a closed plane figure, having three or more, usually straight, sides

interior

As adjective

being within; inside of anything; internal; inner; further toward a center:the interior rooms of a house

of or relating to that which is within; inside:an interior view

situated well inland from the coast or border:the interior towns of a country

of or relating to the inland

domestic:interior trade

private or hidden; inner:interior negotiations of the council

pertaining to the mind or soul; mental or spiritual:the interior life

As noun

the internal or inner part; inside

Architecture

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

a pictorial representation of the inside of a room

the inland parts of a region, country, etc

:the Alaskan interior

the domestic affairs of a country as distinguished from its foreign affairs:the Department of the Interior

the inner or inward nature or character of anything

Mathematics

the largest open set contained in a given set, as the points in a circle not including the boundary

angle

As noun

Geometry

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 ° prime; ″, which is read as degrees, minutes, and seconds

an angular projection; a projecting corner:the angles of a building

a viewpoint; standpoint:He looked at the problem only from his own angle

Journalism

slant (def )

the point of view from which copy is written, especially when the copy is intended to interest a particular audience: The financial editor added a supplementary article from the investor's angle

one aspect of an event, problem, subject, etc

:The accountant emphasized the tax angle of the leasing arrangement

Movies, Photography

angle shot

Informal

a secret motive:She's been too friendly lately—what's her angle?

Astrology

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

angle iron (def )

As verb (used with object), angled, angling

to move or bend in an angle

to set, fix, direct, or adjust at an angle:to angle a spotlight

Journalism

to write or edit in such a way as to appeal to a particular audience; slant:She angled her column toward teenagers

As verb (used without object), angled, angling

to turn sharply in a different direction:The road angles to the right

to move or go in angles or at an angle:The trout angled downstream

As Idioms

play the angles, Slang

to use every available means to reach one's goal:A second-rate talent can survive only by playing all the angles

sum

As noun

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 and is

a particular aggregate or total, especially with reference to money:The expenses came to an enormous sum

an indefinite amount or quantity, especially of money:to lend small sums

a series of numbers or quantities to be added up

an arithmetical problem to be solved, or such a problem worked out and having the various steps shown

the full amount, or the whole

the substance or gist of a matter, comprehensively or broadly viewed or expressed:the sum of his opinions

concise or brief form:in sum

Mathematics

the limit of the sequence of partial sums of a given infinite series

union (def a)

a summary

As verb (used with object), summed, summing

to combine into an aggregate or total (often followed by up)

to ascertain the sum of, as by addition

to bring into or contain in a small compass (often followed by up)

As verb (used without object), summed, summing

to amount (usually followed by to or into):Their expenses summed into the thousands

As Verb phrases

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

theorem

As noun

Mathematics

a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas

a rule or law, especially one expressed by an equation or formula

Logic

a proposition that can be deduced from the premises or assumptions of a system

an idea, belief, method, or statement generally accepted as true or worthwhile without proof

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