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Chapter 3: Q17. (page 112)

A regular polygon has 18 sides. Find the measure of each interior angle.

Short Answer

Expert verified

The measure of each interior angle is160掳.

Step by step solution

01

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

The formula to find the measure of each interior angle for a regular polygon with n sides is (n-2)180掳n.

02

Step 2. Calculate the measure of each interior angle for a regular polygon having 18 sides.

The number of sides in the polygon is 18.

Therefore, the value of n is 18.

Therefore, the measure of each interior angle for a regular pentagon having 18 sides is given by :

18鈭�218018=16脳18018=16脳10=160

03

Step 3. Write the conclusion.

Therefore, the measure of each interior angle for a regular polygon having 18 sides is 160掳.

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