9514 1404 393
Answer:
∠2 = 92°
Step-by-step explanation:
The angles marked with expressions in x are "alternate interior" angles, so are congruent.
-8x +144 = 2x +74
70 = 10x . . . . . . . . . . add 8x-74 to both sides
7 = x . . . . . . . . . . . . . divide by 10
The angles adjacent to angle 2 are ...
2x +74 = 2(7) +74 = 88 . . . . degrees
Angle 2 is the other angle of the linear pair with angle 2x+74 (or angle 1), so is ...
∠2 = 180° -88°
∠2 = 92°
