SOLUTION: An angle is 10° more than the measure of its complement. Find the number of degrees in each angle.

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Question 369586: An angle is 10° more than the measure of its complement. Find the number of degrees in each angle.
Answer by acalgebra(30) About Me  (Show Source):
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Let the angle be x and its complement be c, then:
x=c%2B10 and x%2Bc=90.
In the second equation, substitute x for c%2B10:
c%2B%28c%2B10%29=90
Now, solve:
c%2B%28c%2B10%29=90
c%2Bc%2B10=90
2c%2B10=90
2c=80
c=40

Now, in the first equation, substitute c for 40:
x=40%2B10
x=50

So, the measure of the angle is 50°, and the measure of its complement is 40°.