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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

  1. Draw two parallel lines and a transversal.
  2. Use a protractor to draw bisectors of two same-side interior angles.
  3. Measure the angles formed by the bisectors. What do you notice?
  4. Prove your answer to part (c).

Prove Theorem 3-11 by using the diagram below. (Begin by stating what is given and what is to be proved. Draw the auxiliary ray shown.)

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

Complete each statement with the word always, sometimes, or never.

Two lines skew to a third line are skew to each other

Complete each statement with the word always, sometimes, or never.

2. If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other one.
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