Question 1058551
Let x represent the unknown angle.


It supplement will be 180 - x.


Since the unknown angle is 1/5 of its supplement, you can write:


x = (1/5)(180 - x)


Multiplying both sides by 5 then gives:


5x = 180 - x


Adding x to both sides gives:


6x = 180


Dividing both sides by 6 leaves:


x = 180 / 6


x = 30


Solution: The magnitude of the angle is 30.