2x +100=16+4x
-2x. -2x
100=16+2x
-16. -16
84=2x
divide both sides
x=42
Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.
The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.
Vertically opposite angles (vertical angles) are congruent. Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or
x=22 degrees.
