the ratio between the exterior and interior of a regular polygon is 1:3. find the number of sides of the polygon. also, find each of the interior and exterior angles.
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Answer:
Step-by-step explanation:
let the interior angle of the regular polygon be X.
therefore, the exterior angle is X/3.
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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