SOLUTION: What is the number of sides of a regular polygon if one angle measures 156�

Question 461249: What is the number of sides of a regular polygon if one angle measures 156�
Found 2 solutions by MathLover1, Gogonati:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Every polygon has interior angles adding up to . In this polygon, the interior angles add up to 156n, where is the number of sides.

........the number of sides of a regular polygon

Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
The sum of the interior angles of a regular polygon with n angles is
. Since the angle of our polygon measure 156 degree, then the sum
of interior angles is: . Equalizing these two expressions for the sum
of interior angles we have:, solving this equation we get:
=> => .
Answer:The number of sides of our polygon are 15.
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