Question

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

Explanation:

Step1: Identify alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal. In the given figure, \(\angle7\) and \(\angle1\) fit this description.

Step2: Identify alternate interior angles

Alternate interior angles are non - adjacent angles that lie inside the two lines and on opposite sides of the transversal. Here, \(\angle6\) and \(\angle2\) meet this criterion.

Step3: Identify corresponding angles

Corresponding angles are in the same relative position with respect to the lines and the transversal. For example, \(\angle5\) and \(\angle3\) are corresponding angles.

Answer:

(a) \(\angle7\) and \(\angle1\)
(b) \(\angle6\) and \(\angle2\)
(c) \(\angle5\) and \(\angle3\)