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Chapter 3: Q17. CR (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 is 160°.

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 withn sides is n-2180n.

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 ofnis 18.

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

18−218018=16×18018=16×10=160

03

Step 3. Write the conclusion.

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

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