Question

Two alternate interior angles have measures of (2x + 10)º and (3x-15)º. What is the measure of each?

Answer 1

Each angle `=60^o`

Explanation:

The two alternate interior angles provided are:

`(2x+10)^o` and,
`(3x-15)^o`

A pair of alternate interior angles as per property ,have equal values.

`(2x+10)^o =(3x-15)^o`

`(10 +15)^o =3x-2x`

`25^o =x`

So,

angle 1: `(2x+10)^o = 2xx 25 +10 = 60^o`
angle 2: `(3x-15)^o = 3xx25 -15 =60^o`