Apair of parallel lines is cut by a transversal, as shown: which of the following best represents the relationship between angles x and y? x = 180 degrees − y y = 180 degrees − x x = y x = 2y

Solution:

As given , A pair of parallel lines is cut by a transversal.

Diagram drawn below:

When two parallel lines are cut by a transversal,

1. Alternate (exterior and interior) angles are equal.

2. Corresponding angles are equal.

3. Sum of Co-interior angles on the same side of transversal is 180°.

As Diagram not given

Option A,B and C might be true.(Diagram for different cases shown below).