Question

9 multiple choice 1 point lines a and b are parallel lines cut by a transversal. which of the following is an example of corresponding angles? ∠1 and ∠7 ∠8 and ∠4 ∠5 and ∠7 ∠3 and ∠5 clear my selection

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are pairs of angles that are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

• For $\angle1$ and $\angle7$: Their relative positions are not the same with respect to the parallel lines and transversal.
• For $\angle8$ and $\angle4$: Their relative positions are not the same with respect to the parallel lines and transversal.
• For $\angle5$ and $\angle7$: These are vertical angles (opposite angles formed by two intersecting lines), not corresponding angles.
• For $\angle3$ and $\angle5$: $\angle3$ and $\angle5$ are in the same relative position (both are on the inner - side of the parallel lines and on the same side of the transversal), so they are corresponding angles.

Answer:

$\angle3$ and $\angle5$