Question

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 ∠□

Explanation:

Step1: Identify corresponding angles

Corresponding angles are in the same relative position. $\angle2$ and $\angle6$ are corresponding angles.

Step2: Identify alternate exterior angles

Alternate exterior angles are outside the two lines and on opposite sides of the transversal. $\angle1$ and $\angle7$ are alternate exterior angles.

Step3: Identify alternate interior angles

Alternate interior angles are inside the two lines and on opposite sides of the transversal. $\angle4$ and $\angle6$ are alternate interior angles.

Answer:

(a) Corresponding angles: $\angle2$ and $\angle6$
(b) Alternate exterior angles: $\angle1$ and $\angle7$
(c) Alternate interior angles: $\angle4$ and $\angle6$