Question

How do you find the measure of an angle whose complement is five times it's measure?

Answer 1

`theta = 15`

Explanation:

An angle plus its complement equals 90 degrees:

`theta + theta_"compliment"=90`

We know that `theta_"compliment"=5theta` and so:

`theta+5theta=90`

`6theta=90`

`theta = 15`