Question

1. given that $mangle a = 48^{circ}$, what are the measures of a complement and a supplement of $angle a$? (review 1.6)

Explanation:

Step1: Recall the definition of complementary angles.

Complementary angles add up to 90°. Let the complement of ∠A be x. Then x + 48°=90°. Solving for x gives x = 90° - 48°.
$x=90 - 48=42^{\circ}$

Step2: Recall the definition of supplementary angles.

Supplementary angles add up to 180°. Let the supplement of ∠A be y. Then y+48° = 180°. Solving for y gives y = 180° - 48°.
$y=180 - 48 = 132^{\circ}$

Answer:

The measure of the complement of ∠A is 42° and the measure of the supplement of ∠A is 132°.