Question

The difference in the measure of two complementary angle is 12 degree. find the measure of angles.

Answer 1

complementary angles sum!=90
therefore x+y=90
x=90-y
x-y=12
90-y-y=12
-2y=12-90
y=78/2
y=39
req angles are=39 and 51
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Answer 2

let the angles be x and y
$x + y = 90 \\ x - y = 12 \\ so \\ 2x = 102 \\ x = 51 \\ so \: y = 39$
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