Question

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

Explanation:

Step1: Identify alternate exterior angles

Alternate exterior angles are non - adjacent and on opposite sides of the transversal, outside the two lines. So, \(\angle1\) and \(\angle8\) are alternate exterior angles.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position. So, \(\angle1\) and \(\angle3\) are corresponding angles.

Step3: Identify alternate interior angles

Alternate interior angles are non - adjacent and on opposite sides of the transversal, inside the two lines. So, \(\angle2\) and \(\angle7\) are alternate interior angles.

Answer:

(a) Alternate exterior angles: \(\angle1\) and \(\angle8\)
(b) Corresponding angles: \(\angle1\) and \(\angle3\)
(c) Alternate interior angles: \(\angle2\) and \(\angle7\)