Question

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

Explanation:

Step1: Recall same - side interior angles definition

Same - side interior angles are two angles that are on the same side of the transversal and between the two lines being intersected by the transversal.

Step2: Analyze each option

• Option A: ∠3 and ∠8 are not same - side interior angles. ∠3 is above one line and ∠8 is below the other line with respect to the transversal.
• Option B: ∠3 and ∠2 are same - side interior angles. They are on the same side of the transversal and between the two intersected lines.
• Option C: ∠4 and ∠7 are not same - side interior angles. They are on opposite sides of the transversal.
• Option D: ∠2 and ∠7 are not same - side interior angles. They are on opposite sides of the transversal.

Answer:

B. ∠3 and ∠2