Question

Find the angle which is one-fifth of it's complement

Answer 1

Answer:

15 degree

Step-by-step explanation:

Two angles which are complementary add up to 90 as per problem given,

x + 1/5 x = 90

6/5 x = 90

x = 90 x 5/6

  = 75

Thus one angle is 75  other will be 75/5 = 15

Therefore, angle which is one fifth of its complement is 15 degree.

Answer 2

Answer:

The angles which are one fifth of its complement is 15 and 75 degrees.

Step-by-step explanation:

Let the angle be x

complement of x is (90° − x)

One fifth of the complement angle is (90° − x)/5

Given x =  (90° − x)/5

⇒ 5x = 90° − x

⇒ 6x = 90°

⇒ x = 90°/ 6 = 15°

Hence (90° − x) = (90° − 15°) = 75°

Thus the angles are 15° and 75°.