Question

Angles are complementary and the smaller is 40° less than the larger....​

Answer 1

Answer:

Larger Angle = 65°

Smaller Angle = 25°

Step-by-step explanation:

Let the larger angle be x° and the smaller angle be y°

Therefore, x + y = 90°-------1

also given that, y = x - 40-------2

Putting eq.2 in eq.1, we get

x + (x - 40) = 90°

x + x - 40 = 90

2x = 90 + 40

2x = 130

Therefore x = (130/2) = 65°

also, y = 65 - 40 = 25°

Therefore, Larger angle(x) is 65° and smaller angle(y) is 25°

when we check,

65 + 25 = 90 and 65 - 40 = 25

Hope you understood it......