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)   (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 =  = 9.     ANSWER

Solved.


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