Question

corresponding angles
m←→
3 7
n←→
2 6
4 8
m ∥ n
what angle corresponds to ∠7 ?
∠4 ∠5 ∠8 ∠7

Explanation:

Step1: Recall Corresponding Angles

Corresponding angles are in the same relative position at each intersection where a transversal crosses parallel lines. Here, lines \( m \parallel n \), and a transversal crosses them.

Step2: Identify Position of \( \angle 7 \)

\( \angle 7 \) is at the intersection of transversal and line \( m \), below the transversal, right - side. Now check each option:

• \( \angle 4 \): Position doesn't match.
• \( \angle 5 \): Position doesn't match.
• \( \angle 8 \): At intersection of transversal and line \( n \), below the transversal, right - side. Same relative position as \( \angle 7 \).
• \( \angle 7 \): Can't correspond to itself in this context.

Answer:

\( \angle 8 \)