Question

question 13 (2 points) which pair of angles in the diagram are alternate interior angles? a ∠1 and ∠5 b ∠2 and ∠6 c ∠7 and ∠5 d ∠2 and ∠3 question 14 (2 points) how many pairs of corresponding angles are in the diagram? f 2 g 4 h 8 j 16

Explanation:

Step1: Recall definition of alternate - interior angles

Alternate - interior angles are two non - adjacent interior angles on opposite sides of a transversal. In the first diagram, $\angle2$ and $\angle3$ are non - adjacent interior angles on opposite sides of the transversal.

Step2: Recall definition of corresponding angles

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. In the second diagram, the pairs of corresponding angles are $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$. There are 4 pairs.

Answer:

Question 13: D. $\angle2$ and $\angle3$
Question 14: G. 4