give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior…

give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles. (a) corresponding angles: ∠ and ∠ (b) alternate exterior angles: ∠ and ∠ (c) alternate interior angles: ∠ and ∠

give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles. (a) corresponding angles: ∠ and ∠ (b) alternate exterior angles: ∠ and ∠ (c) alternate interior angles: ∠ and ∠

Answer

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position. For example, $\angle1$ and $\angle5$ are corresponding angles as they are both above the parallel lines $m$ and $n$ and on the same side of the transversal $b$.

Step2: Recall alternate - exterior angles definition

Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. So, $\angle2$ and $\angle8$ are alternate exterior angles.

Step3: Recall alternate - interior angles definition

Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Thus, $\angle4$ and $\angle6$ are alternate interior angles.

Answer:

(a) $\angle1$ and $\angle5$ (b) $\angle2$ and $\angle8$ (c) $\angle4$ and $\angle6$