Question

identify a pair of same - side interior angles.
choose the correct answer below.
a. ∠2 and ∠7
b. ∠4 and ∠7
c. ∠3 and ∠8
d. ∠3 and ∠2

Explanation:

Step1: Recall the definition of same - side interior angles

Same - side interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• Option A: $\angle2$ and $\angle7$ are not between the same two lines.
• Option B: $\angle4$ and $\angle7$ are not same - side interior angles.
• Option C: $\angle3$ and $\angle8$ are not between the same two lines.
• Option D: $\angle3$ and $\angle2$ lie between the two parallel - looking lines and on the same side of the transversal.

Answer:

D. $\angle3$ and $\angle2$