   Chapter 2.5, Problem 7E ### 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 = 5 b) n = 10

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 5.

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 which is equiangular and equilateral is called regular polygon.

Calculation:

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

Substitute 5 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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