Question

If the difference of two complementray angles is 90,then what are the measure of the angles?

Answer 1

let the two angles be X and Y.
If they are complementary then X+Y=90
also, it is given that X-Y=90 (let X>Y)
then if we eliminate Y, (if you know elimination)
we get 2X=180
or, X=90
put the value in any equation above, you get Y=0
hence the angles are 90 and 0 degrees respectively.

hope it helps :)