Question

Two parallel lines are crossed by a transversal.

Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees.
What is the value of g?

g = 75
g = 80
g = 100
g = 105

Answer 1

g = 105

Reason: At the intersection with u, the bottom-left angle is 105°, so its vertical opposite (the upper-right angle at that same intersection) is also 105°. That upper-right angle is a corresponding angle to the upper-right angle at the intersection with w (because u and w are parallel), so g = 105°.