Question

1. select all that apply: in the diagram above, what are the alternate interior angles? ∠1 & ∠5 ∠3 & ∠4 ∠3 & ∠5 ∠4 & ∠6

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 option

• For \(\angle1\) and \(\angle5\): \(\angle1\) is not an interior angle (assuming the two parallel lines are the ones in the middle of the transversal - related figure).
• For \(\angle3\) and \(\angle4\): They are adjacent angles, not non - adjacent.
• For \(\angle3\) and \(\angle5\): They are non - adjacent interior angles and lie on opposite sides of the transversal.
• For \(\angle4\) and \(\angle6\): They are non - adjacent interior angles and lie on opposite sides of the transversal.

Answer:

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