Answer:
∠B = 156°
Step-by-step explanation:
A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:
[tex]∠A = ∠B \\ 8x +78 = 2x +144[/tex]
Solving for x:
[tex]8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11[/tex]
Solving Angle B if x = 11.
[tex]∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166[/tex]
