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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 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掳.

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Most popular questions from this chapter

Name two coplanar segments that do not intersect and yet are not parallel.

Complete the table for regular polygons.

The face of a honeycomb consists of interlocking regular hexagons. What is the measure of each angle of these hexagons?

Draw a pentagon with one exterior angle at each vertex. Cut out the exterior angles and arrange them so that they all have a common vertex, as shown at the far right. What is the sum of the measures of the exterior angles? Repeat the experiment with a hexagon. Do your results support Theorem 3-14?

The sum of the measures of the interior angles of a polygon is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?
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