Question

what angle corresponds to ∠5? image of intersecting lines with angles labeled 1,2,3,4,5,6,7,8 and options ∠7, ∠5, ∠3, ∠2

Explanation:

Step1: Recall Corresponding Angles

When two parallel lines (here, lines \( p \) and \( d \)) are cut by a transversal (line \( t \)), corresponding angles are in the same relative position.

Step2: Identify Position of \( \angle 5 \)

\( \angle 5 \) is at the upper - left intersection of line \( p \) and transversal \( t \). Now, check the other intersection (of line \( d \) and transversal \( t \)) for the same relative position. \( \angle 3 \) is at the upper - left intersection of line \( d \) and transversal \( t \), so \( \angle 5 \) and \( \angle 3 \) are corresponding angles.

Answer:

\(\angle 3\)