Question

for the figure below, give the following.
(a) one pair of vertical angles
(b) one pair of angles that form a linear pair
(c) one pair of angles that are congruent
(a) vertical angles:
(b) linear pair:
(c) congruent angles:

Explanation:

Step1: Identify vertical angles

Vertical angles are opposite angles formed by two intersecting lines. In the figure, \(\angle1\) and \(\angle3\) are opposite each other.

Step2: Identify linear pair

A linear pair of angles is adjacent and their non - common sides form a straight line. \(\angle1\) and \(\angle2\) are adjacent and their non - common sides form a straight line.

Step3: Identify congruent angles

Congruent angles have the same measure. Vertical angles are congruent. So, \(\angle1\) and \(\angle3\) are congruent.

Answer:

(a) \(\angle1\) and \(\angle3\)
(b) \(\angle1\) and \(\angle2\)
(c) \(\angle1\) and \(\angle3\)