The value of x is 30
Solution:
Given that measure of exterior angle of regular polygon is 2x
The measure of interior angle is 4x
To find: value of x
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
measure of exterior angle + measure of interior angle = 180
2x + 4x = 180
6x = 180
x = 30
Finding the measure of an exterior angle
measure of exterior angle = 2x = 2(30) = 60 degrees
Finding the measure of interior angle
measure of interior angle = 4x = 4(30) = 120 degrees
