each interior angle of a regular polygon is 156 degree find the number of sides of a polygon
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[(n-2) × 180 ]/n = 156
=> (180n - 360) / n = 156
=> 180n - 360 = 156n
=> 180n - 156n = 360
=> 24n = 360
=> n = 360 / 24
=> n = 15
Hence the number of sides is 15
=> (180n - 360) / n = 156
=> 180n - 360 = 156n
=> 180n - 156n = 360
=> 24n = 360
=> n = 360 / 24
=> n = 15
Hence the number of sides is 15
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