Question

a set of angles has a ratio of 5:2 if the larger angle measures 105 degrees then what is the measure of the smaller angle?

Answer 1

42 degrees. Divide 105 by 5 and get 21 and then multiply it by 2.

Answer 2

The measure of the smaller angle is 21°.

Explanation:

We are given that a set of angles has a ratio of 5:2 .

Let the ratio be x

So, Larger angle is 5x

So, smaller angle be x

We are given that he larger angle measures 105 degrees

So,
`5x=105`

`x=(105)/(5)`

`x=21`

So, the measure of the smaller angle is 21°.