Question

The interior angle of a regular

polygon is five times its
corres
ponding aterior angle find
the number
OF
sides
of polygon
​

Answer 1

12

Explanation:

The sum of the exterior and interior angles = 180°

let x be the measure of the exterior angle then interior angle is 5x and

5x + x = 180

6x = 180 ( divide both sides by 6 )

x = 30

The sum of the exterior angles of a polygon = 360°, thus

number of sides =
`(360)/(30)` = 12