the interior angle and exterior angle of a polygon are in the ratio of 7:5. find the measures of each interior angle and exterior angle
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Let interior angle be 7x and exterior angle 5x.
7x+5x= 180° ( interior and exterior angles are supplementary)
14x=180°
x= 180°/14=12.85° ( approx.)
So exterior angle=5*12.85=64.25°
Interior angle= 7*12.85=89.95°
7x+5x= 180° ( interior and exterior angles are supplementary)
14x=180°
x= 180°/14=12.85° ( approx.)
So exterior angle=5*12.85=64.25°
Interior angle= 7*12.85=89.95°
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