SOLUTION: If the measure of each interior angle of a regular polygon is 150 degree, then the number of its diagonals will be ?

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Question 1082957: If the measure of each interior angle of a regular polygon is 150 degree, then the number of its diagonals will be ?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Then the number of sides is n = 360%2F30 = 12

and the number of diagonals is %28n%2A%28n-3%29%29%2F2 = %2812%2A%2812-3%29%29%2F2 = 54.