Question

(a) an angle measures 44°. what is the measure of its complement? (b) an angle measures 139°. what is the measure of its supplement? measure of the complement: measure of the supplement:

Explanation:

Step1: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\theta = 44^{\circ}$, and the complement be $x$. Then $x=90^{\circ}-\theta$.

Step2: Calculate the complement

$x = 90^{\circ}-44^{\circ}=46^{\circ}$

Step3: Recall supplement formula

Supplementary angles add up to 180°. Let the given angle be $\alpha = 139^{\circ}$, and the supplement be $y$. Then $y = 180^{\circ}-\alpha$.

Step4: Calculate the supplement

$y=180^{\circ}-139^{\circ}=41^{\circ}$

Answer:

measure of the complement: $46^{\circ}$
measure of the supplement: $41^{\circ}$