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 angles that lie between two lines and on opposite sides of a transversal. In the given figure, \(\angle4\) and \(\angle5\) are alternate interior angles.

Step2: Identify alternate exterior angles

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

Step3: Identify corresponding angles

Corresponding angles are in the same relative position with respect to the lines and the transversal. For example, \(\angle1\) and \(\angle5\) are corresponding angles.

Answer:

(a) Alternate interior angles: \(\angle4\) and \(\angle5\)
(b) Alternate exterior angles: \(\angle1\) and \(\angle8\)
(c) Corresponding angles: \(\angle1\) and \(\angle5\)