Question

Hi, i need help with this :( ​

Answer 1

The measures of the angles are 72° and 108°

Explanation:

Know that: When two angles form a linear pair, it means that the angles sum up to 180°

The measure of one angle is
`1(1)/(2)` times the measure of the other angle.

First angle:
`x`

Second angle:
`1(1)/(2) x`

`1(1)/(2) x+x=180`

`(5x)/(2)=180`

`5x=360`

`x=72`

72° is the measure of the first angle

Plug in 72 into the second angle which is
`1(1)/(2)x` and solve

`1(1)/(2) (72)`

`(3)/(2) (72)`

`108`

The measure of the second angle is 108°