Question

(a) problem 7: (first taught in lesson 22) select the choice that lists all pairs of alternate interior angles in this diagram. a b c d e ∠4 and ∠7, ∠3 and ∠8

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are non - adjacent angles that lie between the two lines and on opposite sides of the transversal.

Step2: Identify transversal and lines

In the given diagram, assume the two lines are $\ell$ and $m$, and the transversal intersects them.

Step3: Locate alternate - interior angles

$\angle4$ and $\angle7$ are non - adjacent, between $\ell$ and $m$, and on opposite sides of the transversal. Also, $\angle3$ and $\angle8$ are non - adjacent, between $\ell$ and $m$, and on opposite sides of the transversal.

Answer:

A. $\angle4$ and $\angle7$, $\angle3$ and $\angle8$