Question

which is a pair of corresponding angles? ∠1&∠7 ∠3&∠6 ∠4&∠7 ∠1&∠5

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position.

Step2: Analyze each option

For two parallel lines $r$ and $s$ cut by a transversal $t$:

• $\angle1$ and $\angle7$ are not in corresponding - angle positions.
• $\angle3$ and $\angle6$ are alternate - interior angles.
• $\angle4$ and $\angle7$ are vertical angles.
• $\angle1$ and $\angle5$ are in the same relative position (above the parallel lines and to the left of the transversal), so they are corresponding angles.

Answer:

D. $\angle1$ & $\angle5$