Question

in the diagram, line o intersects parallel lines l and m. what is the measure of angle x? a 45° b 65° c 85° d 115°

Explanation:

Step1: Identify angle - type relationship

When a transversal intersects parallel lines, corresponding angles are equal. The 115 - degree angle and angle \(x\) are corresponding angles.

Step2: Determine the measure of angle \(x\)

Since corresponding angles are equal when a transversal intersects parallel lines, \(x = 115^{\circ}\).

Answer:

D. 115°