Question

A regular polygon has n sides Each exterior angle is 5n/2 degrees find the value of n.

Answer 1

Sjjwkwkwkwoqoqoqkwkkw

Answer 2

12

Explanation:

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

Since there are n sides and each exterior angle =
`(5n)/(2)` , then

n ×
`(5n)/(2)` = 360 ( multiply both sides by 2 to clear the fraction )

5n² = 720 ( divide both sides by 5 )

n² = 144 ( take the square root of both sides )

n =
`√(144)` = 12

The polygon has 12 sides