Question

give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.
(a) alternate interior angles:
∠\boxed{1} and ∠\boxed{}
(b) alternate exterior angles:
∠\boxed{} and ∠\boxed{}
(c) corresponding angles:
∠\boxed{} and ∠\boxed{}

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, \(\angle3\) 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 \(\angle7\) are alternate exterior angles.

Step3: Identify corresponding angles

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

Answer:

(a) Alternate interior angles: \(\angle3\) and \(\angle5\)
(b) Alternate exterior angles: \(\angle1\) and \(\angle7\)
(c) Corresponding angles: \(\angle2\) and \(\angle6\)