Question

∠2 and ———— are alternate exterior angles.
a. ∠9
b. ∠10
c. ∠13
d. ∠14

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For option A: $\angle2$ and $\angle9$ are not in the correct position (not on opposite sides of the transversal in the alternate exterior sense).
• For option B: $\angle2$ and $\angle10$: Line \(m\) is the transversal. $\angle2$ is above line \(k\) and $\angle10$ is below line \(l\). They are non - adjacent, lie outside lines \(k\) and \(l\), and on opposite sides of transversal \(m\).
• For option C: $\angle2$ and $\angle13$ do not meet the non - adjacent and position criteria for alternate exterior angles.
• For option D: $\angle2$ and $\angle14$ do not meet the non - adjacent and position criteria for alternate exterior angles.

Answer:

B. $\angle10$