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Chapter 3: Q18. (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 is15°.

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 n sides 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 of 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°.

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