Question

what are examples of alternate interior angles? <7 and <6 <4 and <5 <3 and <7 <2 and <8

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair

• For $\angle3$ and $\angle7$: They are not alternate interior angles. $\angle3$ is on one side of the transversal and $\angle7$ is on the same side of the transversal in a non - interior - angle - relative - to - the - parallel - lines sense (if we consider the two parallel lines \(A\) and \(B\)).
• For $\angle4$ and $\angle5$: They are alternate interior angles. $\angle4$ and $\angle5$ are non - adjacent, interior (between the two parallel lines \(A\) and \(B\)) and lie on opposite sides of the transversal.
• For $\angle3$ and $\angle7$: As mentioned above, they do not meet the criteria of alternate interior angles.
• For $\angle2$ and $\angle8$: $\angle2$ is an exterior - like angle (not between the two parallel lines \(A\) and \(B\) in the relevant sense for alternate interior angles) and $\angle8$ is also not in the correct position relative to the parallel lines and transversal for the alternate interior - angle definition.

Answer:

\(\angle4\) and \(\angle5\)