SOLUTION: The measure of an angle is 52 more than the measure of its complement. What is the measure of the angle?

Question 501421: The measure of an angle is 52 more than the measure of its complement. What is the measure of the angle?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
a = angle
b = complement
a + b = 90, by definition
a = b+52
.
Substitute
.
b+52 + b = 90
2b = 48
b = 24
.
a = b+52
a = 24+52
a = 76
.
Check
24 + 76 = 90
Correct.
.
Re-read the question to see what answer you need to give.
.
Answer: The angle is 76. It is 52 more than its complement, which is 24.
.
Done.
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