Question

Two complementary angles differ by 30 digrees .find the angles

Answer 1

x+y=90 degrees
x=y+30
(y+30)+y=90
2y=90-30
y=60/2
y=30degree
x=30+30=60 degree.

Answer 2

Let one angle be x and the other be y.
We know that complementary angles add up to 90.
$x + y = 90$
and given that
$x - y = 30$
Now we add these two equations to cancel the variable y to get the value of x and then we can substitute the value of x in any of the equations to get the value of y.
$x + y + x - y = 90 + 30 \\ 2x = 120 \\ x = 60 \\ \\ x + y = 90 \\ 60 + y = 90 \\ y = 30$