Let’s denote the angle as x. The supplement of an angle is defined as the angle that, when added to it, equals 180 degrees. Therefore, the supplement of x can be expressed as 180 – x.
According to the given condition, the angle x is one fifth of its supplement:
x = (1/5) * (180 – x)
To solve for x, we first eliminate the fraction by multiplying both sides of the equation by 5:
5x = 180 – x
Next, we add x to both sides to combine like terms:
5x + x = 180
6x = 180
Now, we can solve for x by dividing both sides by 6:
x = 180 / 6
x = 30
Therefore, the measure of the angle is 30 degrees.