What is the equation for soving for x?

4x+150 + 2x =180

equal it to 180 because those are vertical angles
which means there are 2 supplementary angles that equal each other

combine like terms

6x+150=180

subtract
6x+150=180
-150 -150

6x=30

divide

6x=30
--- ---
6 6

x=5

if you need to find the measurement of the angles:

plug in x
4(5)+150
=170°

2(5)
=10°

170°+10°=180°

supplementary angles should always equal 180°

extra ig:
if you need to find the other vertical angle just remember the angle exact opposite has the exact same measure

Well is there a picture