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the measure of an interior angle of a regular polygon is 144°. Find the number of side in each polygon. ​

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Answer:

Since the interior angle is 144 degree, and each exterior angle is 180

which means:

180 (exterior angle) - 144 (degree) = 36 degrees.

360 degrees. (this is the sum of the exterior angle for any regular polygon.)

Hence, the number of sides = the number of vertices

360/36= 10.

(ANSWER)

= 10 sides (vertices).

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