13. In a regular polygon with n sides each interior angle is 180- 360/n degrees. How many sides does a polygon have if each interior angle is 156°?
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Answer:
n = 15 sides
Step-by-step explanation:
Let the polygon be n-sided.
Given that Each interior angle measures 156°
So, ( n-2 ) × 180 / n = 156
=> 180n - 360 = 156n .
=> 180n - 156n = 360
=> 24 n = 360
=> n = 360/24 = 180/12 = 90/6 = 15 .
=> n = 15 sides.
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