Question

One exterior angle of a regular pentagon has a measure of (2x) what is the value of x

Answer 1

D) x = 36 ⠀⠀⠀⠀⠀⠀⠀⠀

Answer 2

x = 36° .

Explanation:

Given : One exterior angle of a regular pentagon has a measure of (2x).

To find : what is the value of x.

Solution : We have given

One exterior angle of a regular pentagon has a = (2x).

Each exterior angle =
`(360)/(number\ of\ exterior\ angle)`.

Plug the values each exterior angle = 2x , number of exterior angle = 5.

2x =
`(360)/(5)`.

2x = 72.

On dividing both sides by 2

x = 36.

Therefore, x = 36° .