Chapter 7.3, Problem 20E

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7th Edition

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ISBN: 9781337614085

Textbook Problem

Find the number of sides of a regular polygon that has a central angle measuring

a) | 30°. | c) | 36°. |

b) | 72°. | d) | 20°. |

To determine

**a) To find:**

The number of sides of a regular polygon that has a central angle measuring 30°.

Explanation

**Concept:**

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

**Calculation:**

It is given that the central angle of the regular polygon is 30Â°.

Use the formula of central angle,

Substitute *c* = 30Â° in

To determine

**b) To find:**

The number of sides of a regular polygon that has a central angle measuring 72°.

To determine

**c) To find:**

The number of sides of a regular polygon that has a central angle measuring 36°.

To determine

**d) To find:**

The number of sides of a regular polygon that has a central angle measuring 20°.

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