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Chapter 5: Q. 14 (page 200)

Complete the following statement.

If a regular polygon has 40 sides, the measure of each interior angle is ___?

Short Answer

Expert verified

If a regular polygon has 40 sides, then the measure of each interior angle is 171 degrees.

Step by step solution

01

Step 1- Apply the formula of the interior angle.

The measure of each interior angle is180(n鈭�2)n.

02

Step 2- Find the measure of interior angle.

Heren=40.

Substitute 40 for n in the formula and find the interior angle.

03

Step 2- Step description.

=180(n鈭�2)n=180(40鈭�2)40=180(38)40=171.

Therefore, the measure of each interior angle is 171 degrees.

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