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