SOLUTION: if the measure of each angle of a regular polygon is 144,then the polygon has how many sides?

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Question 255185: if the measure of each angle of a regular polygon is 144,then the polygon has how many sides?
Answer by dabanfield(803) About Me  (Show Source):
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if the measure of each angle of a regular polygon is 144,then the polygon has how many sides?

We know the sum of the interior angles of a polygon with n sides is given by:
(n-2)* 180 so we have:
[(n-2)*180]/n = 144
180n - 360 = 144n
180n-144n =360
36n = 360
n=10