Question
In a regular polygon, the ratio of the exterior angle to
the interior angle is 4:5. Find the interior angle of the polygon.Solution
Sum of an exterior angle and interior angle of a regular polygon = 180 o  (Linear pair)
Let the exterior angle and the interior angle of the given polygon be 4x and 5x, respectively
4x + 5x = 180°
Or, 9x = 180°
Or, ‘x’ = (180°/9) = 20°
Required angle = 5x = 100°
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