SOLUTION: the degree measure on an angle exceeds 3 times the degree measure of its complement by 32. find the degree measure of the angle.

Algebra ->  Angles -> SOLUTION: the degree measure on an angle exceeds 3 times the degree measure of its complement by 32. find the degree measure of the angle.      Log On


   

Question 123481: the degree measure on an angle exceeds 3 times the degree measure of its complement by 32. find the degree measure of the angle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the measure of the angle. The angle's complement is then 90 - x, since the sum of complementary angles is 90 degrees.

But we are told that x=3%2890-x%29%2B32

Solve for x:
x=270-3x%2B32
x%2B3x=270%2B32
4x=302
x=75.5

Check:
90-75.5=14.5
3%2814.5%29=43.5
43.5%2B32=75.5 Checks.