To find the value of x, we first need to determine the measure of an exterior angle of a regular pentagon. The formula for the measure of an exterior angle of a regular polygon is:
Exterior Angle = 360° / n
Where n is the number of sides of the polygon. For a pentagon, n = 5. Therefore, we calculate:
Exterior Angle = 360° / 5 = 72°
Now, according to the question, one exterior angle is given as 2x degrees:
2x = 72°
To find x, we divide both sides by 2:
x = 72° / 2
x = 36°
So, the value of x is 36 degrees.