Question

The angles are complementary and the smaller is 40degree less than the larger

Answer 1

x+y=90
x=y-40
y-40+y=90
2y-40=90
2y=90+40
2y=130
y=130/2
y=65
x=y-40
x=65-40
x=25
x=25,y=65 is answer obtained

Answer 2

Complementary angles add up to 90° 

Let the larger angle be x

Let the smaller angle be 90° - x


According to the question,


x = 90 - x - 40

x + x = 90 - 40

2x = 50

x = $\frac{50}{2}$

x = 25°


Smaller angle => x => 25°

Larger angle => 90 -x => 90 - 25 => 65°