Question

If an angle differs from its complement by 10 degrees, find the angle?

Answer 1

Let required angle be x ..
So , x + x + 10° = 90°
2x = 90° - 10°
2x = 80°
x = 40 °
So , x + 10° = 50°...
So the required angles are 50° and 40°

Answer 2

Define x :

Let one angle be x

The other angle = x + 10

.

Form Equation:

Since they are complementary angles, they add up to 90°:

x + ( x + 10) = 90

x + x + 10 = 90

2x = 80

x = 40

.

Find the angles:

one angle = x = 40°

the other angle = x + 10 = 40 + 10 = 50°

.

Answer: The angles are 40° and 50°