Question

If the difference of two complementary angles is 10°, then find the smaller angle.​

Answer 1

Answer:

Let smaller angle be x and larger angle is x + 10.

Sum of complementary angles = 90°

According to question:-

x + x + 10 = 90

2 x +10 = 90

2 x =90-10

2 x = 80

x = 40°

Therefore, smaller angle = x = 40°

& larger angle = x + 10 = 40 + 10

= 50° Ans.

Ans.) The larger angle is 50°.

Answer 2

Answer:

40°

Step-by-step explanation:

Complementary angles are those angles whose sum is 90°

Given difference between two complementary angles = 10°

Let the smaller angle = x

and the larger angle = x + 10°

So,

x + x + 10° = 90°

2x + 10° = 90°

2x = 80°

x = 40°

Smaller angle = 40°

Larger angle = 40° + 10° = 50°

Thus, the smaller angle is 40°.