How many sides does a regular polygon have whose interior and exterior angles are in the ratio of 3:2?
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Hello friend...
Let there are n sides of that polygon.
While the ratio is 7:2 and given that interior + exterior angles = 180 deg , then (7+2)*x = 180 => x=20.
It means that interior angle is 7*20= 140 deg and exterior 40 deg, which is also the central angle of the polygon.
Then 360 deg : 40 deg = 9 sides.
Hope this helps you...
Let there are n sides of that polygon.
While the ratio is 7:2 and given that interior + exterior angles = 180 deg , then (7+2)*x = 180 => x=20.
It means that interior angle is 7*20= 140 deg and exterior 40 deg, which is also the central angle of the polygon.
Then 360 deg : 40 deg = 9 sides.
Hope this helps you...
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