Chapter 7.3, Problem 37E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Find the measure of a central angle of a regular polygon that has 54 diagonals.

To determine

**To find:**

The measure of a central angle of a regular polygon.

Explanation

**Approach:**

1) The number of diagonals of a regular polygon of *n* sides is given by

2) The measure of any central angle of a regular polygon of *n* sides is given by

**Calculation:**

It is given the regular polygon has 54 diagonals.

Use the formula for the number of diagonals of a regular polygon,

Substitute *D* = 54 in

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