Question

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 alternate - interior angles definition

Alternate - interior angles are between two lines and on opposite sides of a transversal. In the first diagram, ∠2 and ∠3 are between the two vertical lines and on opposite sides of the transversal.

Step2: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the two lines. In the second diagram, the pairs of corresponding angles are: (∠1, ∠5), (∠2, ∠6), (∠3, ∠7), (∠4, ∠8), so there are 4 pairs.

Answer:

Question 13: D. ∠2 and ∠3
Question 14: G. 4