Question

Two parallel lines are crossed by a transversal.

Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5.



If mAngle1=61.8°, then what is the measure of mAngle6?

61.8°
81.8°
118.2°
128.2°

Answer 1

Angle 1 and angle 2 are a linear pair, so m∠2 = 180° − 61.8° = 118.2°.
Lines x and y are parallel, so corresponding angles ∠2 and ∠6 are equal. Therefore m∠6 = 118.2°.