   Chapter 2.5, Problem 16E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) 1980 ° b) 2340 °

To determine

a)

The number of sides for a polygon with the given sum of the measures of its interior angles.

Explanation

Given:

The sum of the measures of its interior angles is 1980°.

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 number of sides for a polygon.

Substitute 1980° for S in the above mention formula to calculate the number of side.

To determine

b)

The number of sides for a polygon with the given sum of the measures of its interior angles.

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