Interior angle-
All interior angles of a regular polygon are equal. The formula for calculating the magnitude of the interior angle is:
Interior angle of polygon = sum of interior angles ÷ number of sides. The sum of the exterior angles of a polygon is 360°.
Exterior angle-
An exterior angle is an angle that is parallel to, but outside, the interior angle of a polygon. The exterior angle measurement is equal to the sum of the two opposite interior angles.
according to the question,
given data
interior angle=8 exterior angle
we know that,
interior angle+ exterior angle=180
let us consider ,
exterior angle=x
so we can say that,
8 exterior angle + exterior angle =180
8x+x=180
9x=180
x=20
we know that ,
the number of sides=360/x
=360/20
=36/2
=18
the number of sides of the polygon is 18
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