Question

which of the following is an example of corresponding angles? ∠5 and ∠7 ∠3 and ∠5 ∠1 and ∠7 ∠8 and ∠4

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position. When a transversal intersects two parallel lines, pairs of corresponding angles are congruent. For example, if we consider the top - left position relative to the intersection points of the transversal and the parallel lines, we can identify pairs.

Step2: Analyze each option

• $\angle5$ and $\angle7$ are vertical angles.
• $\angle3$ and $\angle5$ are alternate - interior angles.
• $\angle1$ and $\angle7$ have no special angle relationship in this context.
• $\angle8$ and $\angle4$ are corresponding angles as they are in the same relative position with respect to the transversal and the parallel lines.

Answer:

$\angle8$ and $\angle4$