Question

The ratio of an angle to its complement is 13:5. Find the measures of the angle and its supplement. ?

Answer 1

`65^o` supplement is `115^o`
`25^o` supplement is `155^o`

Explanation:

Since an angle and its complement add up to `90^o`:

Ratio:

`13:5`

Add the ratio numbers and divide them into `90^o`

`90/18=5`

So angles are:

`13xx5=65^o`

`5xx5=25^o`

An angle and its supplement add up to `180^o`

so:

`180^o-65^o=115^o`

`180^o-25^0=155^o`

I assume you are referring to the first angle, but have given you both so you can choose which is required.