the interior angle of regular polygon is four times its exterior angle .how many side has a polygon
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Answered by
8
Decagon
Since the exterior angles are supplements of the adjacent interior angle.
To explain my answer
Lets the x as the angle of the exterior.
4x + x = 180
5x = 180
x = 180/5
x = 36
Therefore, The regular polygon with 144 degree (36×4) is Decagon.
Answered by
14
Answer:
Decagon
The sum of the interior angles of a polygon is four times the sum of its exterior angles.
The sum of the exterior angles of a polygon is always equal to 360o.
The sum of the interior angles of polygon = 180(n−2)
=> 180(n−2)=4×360
=> n−2=8
=> n=10
Number of sides in the polygon = 10
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