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Romashka-Z-Leto [24]
3 years ago
15

If the measure of one interior angle of a regular polygon is 160, find the number of sides.

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:

18 sides

Step-by-step explanation:

Since it's a regular polygon, all the interior angles are equal, so they're all 160 degrees.

The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degrees.

160 = 180*(n-2)/n

160n = 180n - 360

-20n = -360

n = 18 sides

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