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

Question 1058551: An angle is 1/5 of its supplement . what is its magnitude
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
an angle is four fifth of its complement what is its... (answered by stanbon,ewatrrr)

The ratio of an angle to its supplement is 5:4. What does the angle... (answered by stanbon,MathLover1)

The measure of an angle is 4/5 of the measure of its supplement. What is the measure of... (answered by stanbon)

The ratio of the measurement of an angle to its supplement is 3: 5. Find the angle and... (answered by Alan3354)

An angle is 12 less than one half of its supplement. What is the... (answered by cleomenius,MathTherapy)

What is the measure of an angle if its supplement is four times its... (answered by ramkikk66)

an angle is four-fifth of its supplement. what is its... (answered by Edwin McCravy)

An angle is 28 degrees greater in measure than its supplement. What is the degree... (answered by Fombitz)