Question

1. name one pair of alternate interior angles
2. from the question on the left, choose your answer here.

a. ∠1 and ∠3
b. ∠3 and ∠6
c. ∠5 and ∠7
d. ∠8 and ∠6

Explanation:

Step1: Recall the definition of alternate interior angles

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 ∠3 are not between the two parallel - like lines (assuming the figure has two lines cut by a transversal).
• Option B: ∠3 and ∠6 are adjacent, so they are not alternate interior angles.
• Option C: ∠5 and ∠7 are not between the two lines in the correct way (not in the interior of the two lines cut by the transversal).
• Option D: ∠8 and ∠6 are non - adjacent, lie between the two lines (assuming the figure has two lines cut by a transversal) and on opposite sides of the transversal.

Answer:

D. ∠8 and ∠6