Chapter 7.3, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*Given:* Regular pentagon *JKLMN *(not shown) with diagonals

*Find:*

To determine

**To find:**

The measure of

Explanation

**Approach:**

The measure of interior angle of regular polygon of *n* sides is given by

**Calculation:**

Consider the figure.

Interior angles of regular pentagon

Therefore,

Since, *JKLMN* is a regular pentagon.

Therefore,

In triangle KJN,

The angles opposite to equal sides are always equal.

Therefore, *b* = *d*

Use the angle sum property of triangle,

In triangle KMN,

The angles opposite to equal sides are always equal

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