Question

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

Answer 1

Each Exterior Angle = (360 degrees) ÷ (Number of Sides)

A pentagon has 5 sides so

Each Exterior Angle = 360 / 5

Each Exterior Angle =72
If the exterior angle = 2x and the angle = 72 degrees then
2x = 72 and 
x = 36
Source:
http://www.1728.org/polygon.htm

Answer 2

Answer:

x = 36° .

Step-by-step 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 = $\frac{360}{number\ of\ exterior\ angle}$.

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

2x = $\frac{360}{5}$.

2x = 72.

On dividing both sides by 2

x = 36.

Therefore, x = 36° .