Question

the figure shown has two parallel lines cut by a transversal:which angle is a corresponding angle to \\( \angle 6 \\)?

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For \(\angle2\) and \(\angle6\):

They are in the same relative position (upper - right at their respective intersections of the transversal with the parallel lines).

• For \(\angle3\): It is an alternate interior angle with \(\angle6\) (not corresponding).
• For \(\angle7\): It is a vertical angle with \(\angle6\) (not corresponding).
• For \(\angle8\): It is a linear - pair (supplementary) with \(\angle6\) (not corresponding).

Answer:

\(\angle2\)