SOLUTION: A polygon has three of its interior angles to be 120 each and others are 150 each. calculate the number of sides of the polygon

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Question 1128628: A polygon has three of its interior angles to be 120 each and others are 150 each. calculate the number of sides of the polygon
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
120*3 + (n-3)*150 = (n-2)*180.


Simplify and solve for n.


120*3 + 150n - 3*150 = 180n - 2*180


120*3 - 3*150 + 2*180 = 180n - 150n


270 = 30 n   ====>   n = 270%2F30 = 9.     ANSWER

Solved.