Question

1. select all that apply: in the diagram above, what are the same-side interior angles? (note: same-side interior angles are also referred to as consecutive interior angles) ∠2 & ∠7 ∠3 & ∠6 ∠3 & ∠5 ∠4 & ∠5

Explanation:

Step1: Recall the definition of same - side interior angles

Same - side interior angles are interior angles that lie on the same side of the transversal.

Step2: Analyze each pair

• For $\angle2$ and $\angle7$: $\angle2$ is an exterior angle, so this pair is not same - side interior angles.
• For $\angle3$ and $\angle6$: They are not on the same side of the transversal.
• For $\angle3$ and $\angle5$: They are interior angles and lie on the same side of the transversal.
• For $\angle4$ and $\angle5$: They are interior angles and lie on the same side of the transversal.

Answer:

$\angle3\ \&\ \angle5$, $\angle4\ \&\ \angle5$