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) (Show Source): You can put this solution on YOUR website!
Let the angle be x and its complement be c, then:
and .
In the second equation, substitute x for :
Now, solve:
Now, in the first equation, substitute c for 40:
So, the measure of the angle is 50°, and the measure of its complement is 40°.
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