Question

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

Explanation:

Step1: Recall definition of same - side interior angles

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: ∠4 and ∠7 are not same - side interior angles.
• Option B: ∠3 and ∠2 are adjacent angles, not same - side interior angles.
• Option C: ∠3 and ∠8 are same - side interior angles as they are on the same side of the transversal and between the two lines.
• Option D: ∠2 and ∠7 are not same - side interior angles.

Answer:

C. ∠3 and ∠8