Question

exit ticket (day 1)
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 - angle definition

Complementary angles add up to 90°. Angle 1 and angle 6 form a right - angle, so ∠1 and ∠6 are complementary angles.

Step2: Recall supplementary - angle definition

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

Step3: Recall linear - pair definition

A linear pair of angles are adjacent and supplementary. ∠1 and ∠2 are adjacent but their sum is not 180°, so they are not a linear pair of angles.

Answer:

1. 6
2. 6
3. are not