Two angles are complementary. One angle is 56 degree less than twice the other. Find the two angles.

Answer 1

Angles x and y

x+y =90

x=2y-56

Substitute

2y-56+y=90

3y=146

The solution appears to be correct, although the answers are not integers. You finish it.

Answer 2

2 angles, A and B -- they're complementary, which means that A+B = 90 degrees, or, B = 90 - A.

And the 2nd sentence translates into:

A = 2*B - 56

A = 2*(90 - A) - 56

A = 180 - 2*A - 56

3*A = 180 - 56

3*A = 124

A = 41 1/3 degrees

So

B = 90 - 41 1/3

B = 48 2/3 degrees