Question

identify all pairs of alternate interior angles. 12 ∠1 and ∠5 ∠3 and ∠5 ∠4 and ∠5 ∠1 and ∠8 ∠3 and ∠6 ∠4 and ∠6 ∠2 and ∠6 ∠3 and ∠7 ∠4 and ∠8

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle3\) and \(\angle6\): They are non - adjacent interior angles on opposite sides of the transversal.
• For \(\angle4\) and \(\angle5\): They are non - adjacent interior angles on opposite sides of the transversal.

Answer:

\(\angle3\) and \(\angle6\), \(\angle4\) and \(\angle5\)