Question

for exercises 2 and 3, use the figure below right. question 2 1 pts which statement proves that a || b? ∠10 is supplementary to ∠11. ∠1≅∠6 ∠5≅∠13 ∠8 is supplementary to ∠12.

Explanation:

Step1: Recall parallel - line theorems

Corresponding angles, alternate - interior angles, and same - side interior angles relationships are used to prove parallel lines.

Step2: Analyze each option

• $\angle10$ and $\angle11$ are adjacent angles, not related to parallel - line criteria.
• $\angle1$ and $\angle6$ are not corresponding, alternate, or same - side interior angles.
• $\angle5$ and $\angle13$ are corresponding angles. If corresponding angles are congruent, then the lines are parallel.
• $\angle8$ and $\angle12$ are not related to parallel - line criteria.

Answer:

$\angle5\cong\angle13$