SOLUTION: If the measure of each interior angle of a regular polygon is 176 find the number of sides of the polygon.

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Question 406955: If the measure of each interior angle of a regular polygon is 176 find the number of sides of the polygon.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: given n sides, degrees in polygon = 180(n-2)

Regualar polygon with equal angles of 176°

176n = 180(n-2)

  360 = 4n

   90 = n

CHECKING our Answer***

 180°*88/90 = 176°