Question

I need the answer to the image

Answer 1

∠B = 156°

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:

`∠A = ∠B \\ 8x +78 = 2x +144`

Solving for x:

`8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ (6x)/(6) = (66)/(6) \\ x = 11`

Solving Angle B if x = 11.

`∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166`