SOLUTION: An angle is 1/5 of its supplement . what is its magnitude

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Question 1058551: An angle is 1/5 of its supplement . what is its magnitude
Answer by solve_for_x(190) About Me  (Show Source):
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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.