Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:
x + 32 = 2x + 1 and
x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.
