Question

Question was provided via image upload.

Explanation:

Step1: Identify corresponding angles

Corresponding angles are in the same relative position. $\angle5$ and $\angle1$, $\angle8$ and $\angle4$ are in the same relative position.

Step2: Identify alternate - interior angles

Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. $\angle6$ and $\angle3$, $\angle7$ and $\angle2$ are alternate - interior angles.

Step3: Identify alternate - exterior angles

Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal. $\angle5$ and $\angle1$, $\angle8$ and $\angle4$ are alternate - exterior angles.

Answer:

(a) $\angle5$ and $\angle1$, $\angle8$ and $\angle4$; (b) $\angle6$ and $\angle3$, $\angle7$ and $\angle2$; (c) $\angle5$ and $\angle1$, $\angle8$ and $\angle4$