find the number of a regular polygon if the ratio of each interior and exterior angle is 3 : 2
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Step-by-step explanation:
Hence exterior angle is 20*2 = 40 degrees and the interior angle 20*7 = 140. The number of sides of the regular polygon = 360/40 or 9 sides. Check: A nonagon has 9 sides. Sum of the interior angles = (2n-4)*90 = (18–4)*90 = 14*90 = 1260 degrees.
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extererior angle of regular polygon is 180
so,let the no be x
3x+2x=5x
5x=180
x=180/5=36
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