Question

find an angle which is one-eighth of its complement.

Answer 1

10 is one of them. It is the only known one.

90-10=80
80/8=10

Answer 2

10° is the angle which is one-eighth of its complement.

Given:

An angle is one-eighth of its complement

To Find:

The unknown angle

Solution:

Let A be the Unknown angle.

Its complement is 90-A.

From the given condition,

A = $\frac{1}{8}$ (90-A)

⇒ 8A = 90-A

⇒ 8A+A = 90

⇒ 9A = 90

⇒A = 10

Therefore, 10° is the angle which is one-eighth of its complement.

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