<PRE><B>Question 239000</B>
x + y = 90 (complementary angles)
x + y/2 = 69


solve for x in the first equation to get x = 90-y


replace x in the second equation to get:


90-y + y/2 = 69


multiply both sides of the equation by 2 to get:


(90-y)*2 + y = 69*2


remove parentheses to get:


180-2y+y = 138


combine like results to get:


180 - y = 138


add y to both sides and subtract 138 from both sides of the equation to get:


180-138 = y which becomes y = 42


your angle should be 42.


complement of your angle should be 90-42 = 48


x = 48
y = 42


48 + 42 = 90


48 + 42/2 = 48 + 21 = 69


looks ok.


answer is x = 45 and y = 42.


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