Question

which angle pairs are alternate interior angles? your answer ∠3 & 4 ∠5 & 6 none of these angle pairs are alternate interior angles. ∠4 & 5

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For \(\angle3\) and \(\angle4\): These are adjacent angles (they share a common side), so they are not alternate interior angles.
• For \(\angle5\) and \(\angle6\): These are adjacent angles (they share a common side), so they are not alternate interior angles.
• For \(\angle4\) and \(\angle5\): They are non - adjacent interior angles and lie on opposite sides of the transversal.

Answer:

\(\angle4\ \&\ \angle5\)