Question

use the figure. 1. ∠1 and ∠_ are complementary angles. 2. ∠5 and ∠_ are supplementary angles. 3. ∠1 and ∠2 are/are not a linear pair of angles?

Explanation:

Step1: Recall complementary angles definition

Complementary angles add up to 90°. Since ∠1 and ∠2 are adjacent and together form a right - angle (as indicated by the box at the intersection of the lines), ∠1 and ∠2 are complementary.

Step2: Recall supplementary angles definition

Supplementary angles add up to 180°. ∠5 and ∠6 are adjacent and form a straight - line, so they are supplementary.

Step3: Recall linear pair definition

A linear pair of angles are adjacent angles that form a straight - line. ∠1 and ∠2 do not form a straight - line, so they are not a linear pair.

Answer:

1. ∠2
2. ∠6
3. are not