Question

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

Explanation:

Step1: Identify alternate interior angles

Alternate interior angles are non - adjacent interior angles on opposite sides of the transversal. In the given figure, \(\angle3\) and \(\angle5\) are alternate interior angles.

Step2: Identify alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles on opposite sides of the transversal. In the given figure, \(\angle2\) and \(\angle8\) are alternate exterior angles.

Step3: Identify corresponding angles

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. In the given figure, \(\angle2\) and \(\angle6\) are corresponding angles.

Answer:

(a) Alternate interior angles: \(\angle3\) and \(\angle5\)
(b) Alternate exterior angles: \(\angle2\) and \(\angle8\)
(c) Corresponding angles: \(\angle2\) and \(\angle6\)