Question

parallel lines s and t are cut by a transversal r. which angles are alternate interior angles?
∠3 and ∠5
∠1 and ∠7
∠3 and ∠7
∠4 and ∠5

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 $\angle3$ and $\angle5$:
• They are non - adjacent interior angles and lie on opposite sides of the transversal $r$.
• For $\angle1$ and $\angle7$:
• $\angle1$ is an exterior angle and $\angle7$ is also an exterior angle (not interior angles).
• For $\angle3$ and $\angle7$:
• $\angle3$ is an interior angle and $\angle7$ is an exterior angle.
• For $\angle4$ and $\angle5$:
• They are same - side interior angles (not alternate interior angles).

Answer:

$\angle3$ and $\angle5$