The sum of the measures of the angles of n-sided polygon can be solved using the formula S = (n − 2)180where n is the number of sides of a polygon and S is the sum of the measures of the angles. a) Solve for the formula for n. b) Write the formula in (a) as the inverse of S = (n − 2)180.

The sum of the measures of the angles of n-sided polygon can be solved using the formula S = (n − 2)180where n is the number of sides of a polygon and S is the sum of the measures of the angles. a) Solve for the formula for n. b) Write the formula in (a) as the inverse of S = (n − 2)180.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 34E: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the...

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Question

The sum of the measures of the angles of n-sided polygon can be solved using the
formula S = (n − 2)180where n is the number of sides of a polygon and S is the
sum of the measures of the angles.
a) Solve for the formula for n.

b) Write the formula in (a) as the inverse of S = (n − 2)180.

Definition Definition Two-dimentional plane figure composed of a finite number of straight line segments connected to form a closed chain or circuit. A polygonal circuit's segments are known as its edges or sides, and the points where two edges meet are known as its vertices or corners.

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