   Chapter 2.5, Problem 8E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Find the sum of the measures of the interior angles of a polygon of n sides if: a) n = 6 b) n = 8

To determine

a)

The sum of the measures of interior angles of the polygon with the given sides.

Explanation

Given:

The number of sides of the polygon is 6.

Formula used:

The formula to calculate the sum of the measures of interior angles of a polygon is given by,

S=(n2)×180°

Here, S is the sum of the measures of interior angles of a polygon and n is the number of sides of the polygon.

Definition:

A polygon that is equiangular and equilateral is called regular polygon.

Calculation:

Calculate the sum of the measures of interior angles of a polygon.

Substitute 6 for n in the above-mentioned formula to calculate the sum of the measures of interior angles

To determine

b)

The sum of the measures of interior angles of the polygon with the given sides.

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