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.

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

 

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