You can
put this solution on YOUR website!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.
