   Chapter 2.5, Problem 1E 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

For Exercises 1 and 2, consider a group of regular polygons.As the number of sides of a regular polygon increases, does each interior angle increase or decrease in measure?

To determine

To verify:

Each interior angle increases or decreases in measure as the number of sides of a regular polygon increases.

Explanation

Formula used:

The formula to calculate each interior angle of the regular polygon is as follows.

I=(n2)n×180°

Here, I is the interior angle of the regular polygon and n is the number of sides of the polygon.

Approach:

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

Calculation:

Consider a triangle and a quadrilateral.

Substitute 3 for n in the above formula.

I=(32)3×180°=

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