Question

The ratio between the exterior and interior angle of a regular polygon is 1:5, find a.the measure of each exterior angle. b.the measure of each interior angle. c.the number of sides of the polygon.

Answer 1

let the ratio be 1x and 5x

therefore 1x+5x=180

6x=180

x=30

the formula to find no of sides of polygon is 360÷each exterior angle i.e

360÷30=12

the no of sides is 12 its a 12 sided polygon

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