   Chapter 3.4, Problem 31E ### 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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# To construct a regular hexagon, what measure would be necessary for each interior angle? Construct an angle of that measure.

To determine

The measures for each interior angle necessary to construct the regular hexagon and construct an angle of that measure.

Explanation

Formula used:

The formula of measure of interior angle of regular polygon of n side is given by,

I=(n2)n180°

Given:

The given polygon is hexagon.

Calculation:

For hexagon,

n=6

Substitute 6 for n in the above mentioned formula to calculate the measure of interior angle.

I=(62)6180°=46×180°=120°

Thus, the measures for each interior angle necessary to construct the regular hexagon is 120°.

Now, construct an angle of measure 120°.

Approach:

Consider a line AB as shown below.

Figure (1)

Take point A and B as center and construct two circle of radius AB and mark the intersection points as shown below

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