SOLUTION: The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees).

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Question 1136606: The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees).
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

X + Y = 90   degrees
X - Y = 27    degrees.

----------------------------Add the two equations and obtain X.


Then substitute the found value of X into EITHER of the two equations and evaluate Y.

That's all.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two complementary angles is 27 degrees. Find the measures of the angles (in degrees). 
Tutor @ IKLEYN made a mistake (Forget it!! Itw's corrected).

Let larger angle be L

Then smaller = 90 - L

We then get: L - (90 - L) = 27

L - 90 + L = 27

2L = 117