Question

identify a pair of alternate interior angles in the diagram. name the two lines and the transversal. which of the following is a pair of alternate interior angles? a. ∠1 and ∠4 b. ∠5 and ∠6 c. ∠5 and ∠7 d. ∠6 and ∠8

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal.

Step2: Analyze each option

• Option A: ∠1 and ∠4 are vertical angles, not alternate - interior angles.
• Option B: ∠5 and ∠6 are adjacent angles, not alternate - interior angles.
• Option C: ∠5 and ∠7 are alternate - interior angles as they are between the two lines and on opposite sides of the transversal.
• Option D: ∠6 and ∠8 are vertical angles, not alternate - interior angles.

Answer:

C. ∠5 and ∠7