Question

Find the value of x. What kind of angles are these?

Answer 1

Hey there!

The answer to your question is
`x = 40`

These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore,
`(3x + 15)` is equal to
`135`°:

`3x + 15 = 135`

Subtract
`15` from both sides:

`3x = 120`

Divide both sides by
`3`:

`x = 40`

Have a terrificly amazing day!

Answer 2

`\displaystyle Corresponding\:Angles; 40 = x`

Explanation:

Corresponding Angles are congruent, therefore you set both angle measures equal to each other:

`\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x`

I am joyous to assist you at any time.