Question

1. determine which lines are parallel based on the diagram below.

Explanation:

Step1: Recall parallel - line angle relationships

Parallel lines have equal corresponding angles, alternate - interior angles, and alternate - exterior angles, and consecutive interior angles are supplementary.

Step2: Analyze angle relationships

The angle of 65° and the angle adjacent to the 115° angle (which is 180 - 115=65°) are corresponding angles.

Step3: Determine parallel lines

Since the corresponding angles are equal, lines a and c are parallel.

Answer:

Lines a and c are parallel.