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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

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 $\frac{360}{n}$ .

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 :

$\frac{360}{24} = 15$

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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