A regular polygon has an interior angle of 172º. Find the number of sides of this polygon.

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asked Dec 17, 2021 234k views

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Martin Seubert · Answer 1 · 2021-12-21T05:35:30+0000

Answer:

45 sides

Explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

A regular polygon has an interior angle of 172º. Find the number of sides of this polygon.

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