Question

(a) an angle measures 25°. what is the measure of its supplement? (b) an angle measures 26°. what is the measure of its complement? measure of the supplement: measure of the complement:

Explanation:

Step1: Recall supplement formula

Supplementary angles add up to 180°. Let the given angle be $\theta = 25^{\circ}$. The measure of its supplement $\alpha$ is given by $\alpha=180^{\circ}-\theta$.

Step2: Calculate supplement

$\alpha = 180^{\circ}- 25^{\circ}=155^{\circ}$

Step3: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\beta = 26^{\circ}$. The measure of its complement $\gamma$ is given by $\gamma = 90^{\circ}-\beta$.

Step4: Calculate complement

$\gamma=90^{\circ}-26^{\circ}=64^{\circ}$

Answer:

measure of the supplement: $155$
measure of the complement: $64$