Answer:
x=5
Step-by-step explanation:
So this is a vertical angles, which means two angles across from each other on intersecting lines are congruent
Simply multiply 2 to the both given
2(2x)+2(4x+150)=360
It is equal to 360 since the whole angle is 360
4x+8x+300=360
12x+300=360
transpose 300 to the right side
12x=360-300
12x=60
divide both sides by 12
x=5
Therefore the x is 5
Checking:
2(5)
=10
So it's vertical angle the one across 2x is also 10
4(5)+150
=170
So it's vertical angle the one across 4x+150 is also 170
add them all and see if its 360
10+10+170+170=360
360=360
