SOLUTION: Angles T and U are complementary, and their measures differ by 12 degrees. I have to find the measurements of them. Please help!

Algebra ->  Angles -> SOLUTION: Angles T and U are complementary, and their measures differ by 12 degrees. I have to find the measurements of them. Please help!      Log On


   

Question 560100: Angles T and U are complementary, and their measures differ by 12 degrees. I have to find the measurements of them. Please help!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary means they add up to 90 degrees
given:
+T+%2B+U+=+90+
+T+-+U+=+12+
Add the equations
+2T+=+102+
+T+=+51+
and, since
+T+%2B+U+=+90+
+51+%2B+U+=+90+
+U+=+90+-+51+
+U+=+39+
The angles are 51 and 39 degrees