SOLUTION: The measure of an angle is one fourth of the measure of its complement find the measure of angle

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Question 834570: The measure of an angle is one fourth of the measure of its complement find the measure
of angle

Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the angle
Let y = x's complement
x + y = 90
x = 1/4y
on the second equation multiple both sides by 4 to get rid of the fraction
4x = y
now plug this value in for the variable y into the first equation
x + 4x = 90
5x = 90
divide both sides by 5 to get x by itself
x=18
answer: the measurement of the angle is 18
the complement is 72