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Chapter 3: Q18. CR (page 112)

A regular polygon has 24 sides. Find the measure of each exterior angle.

Short Answer

Expert verified

The measure of each exterior angle is 15掳.

Step by step solution

01

Step 1. Write the formula to find the measure of each exterior angle for a regular polygon with n sides.

The formula to find the measure of each exterior angle for a regular polygon with sidesn is 360n.

02

Step 2. Calculate the measure of each exterior angle for a regular polygon having 24 sides.

The number of sides in the polygon is 24.

Therefore, the value ofn is 24.

Therefore, the measure of each exterior angle for a regular pentagon having 24 sides is given by:

36024=15

03

Step 3. Write the conclusion.

Therefore, the measure of each exterior angle for a regular polygon having 24 sides is 15掳.

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