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

A linear - pair of angles are adjacent angles that form a straight line and their sum is 180°. In the given figure, ∠1 and ∠2 are adjacent and form a straight line.

Step2: Recall vertical - angles definition

Vertical angles are the non - adjacent angles formed by two intersecting lines. ∠1 and ∠3 are vertical angles as they are formed by the intersection of two lines.

Step3: Recall congruent - angles concept

Vertical angles are always congruent. Since ∠1 and ∠3 are vertical angles, they are congruent. Also, ∠2 and ∠4 are vertical angles and congruent.

Answer:

(a) ∠1 and ∠2
(b) ∠1 and ∠3
(c) ∠1 and ∠3 (or ∠2 and ∠4, ∠5 and ∠7, ∠6 and ∠8)