Chapter 3.4, Problem 31E

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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

**Given:**

The given polygon is hexagon.

**Calculation:**

For hexagon,

Substitute

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

Now, construct an angle of measure

**Approach:**

Consider a line AB as shown below.

Figure

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

Sect-3.1 P-1ESect-3.1 P-2ESect-3.1 P-3ESect-3.1 P-4ESect-3.1 P-5ESect-3.1 P-6ESect-3.1 P-7ESect-3.1 P-8ESect-3.1 P-9ESect-3.1 P-10E

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