Question

Find the number of sides of a regular polygon if each interior angle is 144°. . ​

Answer 1

Answer:

Step-by-step explanation:

A regular polygon has an interior angle of 144 degree, calculate the number of sides polygon has. Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees. For any convex polygon the sum of exterior angles is 360 degrees. = 10.

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Answer 2

We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144. So each interior angle is 144 degrees.


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