The interior and the exterior angle of a regular
polygon are in the ratio 12:3, find the number of side of the polygon.
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Asked on December 20, 2019 by
Krati Ilyas
The ratio between interior and exterior angle of a regular polygon is 1:4. Find the number of sides of the polygon.
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ANSWER
let the interior angle of the regular polygon be X.
therefore, the exterior angle is X/4.
Exterior angle + adjacent interior angle =180
0
4
X
+X=180
0
4
5X
=180
0
X=180
0
×
5
4
=144
0
the interior angle is 144
0
the exterior angle is 36
0
n=
exteriorangle
360
0
=
36
0
360
0
=10
The number of sides of a regular polygon is 10.
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