Question

The ratio of exterior angle to interior angle of a regular polygon is 1:4. What will be the measure
of each interior and exterior angle? Also find the number of sides of the polygon.

Answer 1

The ratio of exterior angle to interior angle is 1:4

let exterior angle = x

then interior angle = 4x

exterior angle + interior angle = 180

x + 4x = 180

5x = 180

x = 180/5

x = 36

exterior angle = 36

interior angle = 4x = 144

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