Question

Two complementary angles differ by 12^o , find the angles?

Answer 1

let x, y be the angles
since they are complementary,
x+y = 90
given x-y = 12
by adding 1 and 2
2x = 102
x = 51
by subtracting 1 and 2
2y = 78
y = 39
therefore the two angles are 51 degrees and 39 degrees.

Answer 2

Let the angles be x and y.
A/Q-
            x+y = 90°
               x=90°-y-------(i)
     and x-y =12°
              x=12°+y-------(ii)
On comparing (i) and (ii)
             90°-y=12°+y
                2y= 78°
                 y=78°/2
                 y=39°
  Since,    x=12°+y
                x=12°+39°
                x=51°
So, the angles are 39° and 51°.