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 supplementary (a) linear pair: ∠□ and ∠□ (b) vertical angles: ∠□ and ∠□ (c) supplementary angles: ∠□ and ∠□

Explanation:

Step1: Recall linear - pair definition

A linear pair of angles are adjacent angles that form a straight - line and their sum is 180°.

Step2: Identify linear pair

In the given figure, ∠1 and ∠2 are adjacent angles and they form a straight - line. So, a linear pair is ∠1 and ∠2.

Step3: Recall vertical angles definition

Vertical angles are the non - adjacent angles formed by two intersecting lines.

Step4: Identify vertical angles

∠1 and ∠3 are non - adjacent angles formed by the intersection of two lines. So, a pair of vertical angles is ∠1 and ∠3.

Step5: Recall supplementary angles definition

Supplementary angles are two angles whose sum is 180°.

Step6: Identify supplementary angles

Since ∠1 and ∠2 form a linear pair (sum is 180°), they are also supplementary. Another pair of supplementary angles (not a linear pair) could be ∠1 and ∠4 (assuming the lines are such that the sum of these non - adjacent angles is 180° in a more general sense of supplementary angles).

Answer:

(a) ∠1 and ∠2
(b) ∠1 and ∠3
(c) ∠1 and ∠4