Question

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

Explanation:

Step1: Recall linear - pair definition

Two adjacent angles are a linear pair if they are supplementary (sum to 180°). For example, ∠1 and ∠2 are adjacent and form a straight - line, so they are a linear pair.

Step2: Recall vertical - angles definition

Vertical angles are the non - adjacent angles formed by two intersecting lines. ∠1 and ∠3 are vertical angles, and vertical angles are congruent.

Step3: Recall congruent - angles concept

Congruent angles have the same measure. Since vertical angles are congruent, we can choose a pair of vertical angles as congruent angles.

Answer:

(a) ∠1 and ∠2
(b) ∠1 and ∠3
(c) ∠1 and ∠3 (vertical angles are congruent)