Question

(a) an angle measures 67°. what is the measure of its supplement? (b) an angle measures 34°. what is the measure of its complement? measure of the supplement: measure of the complement:

Explanation:

Step1: Recall supplement - angle formula

Supplementary angles add up to 180°. Let the given angle be $\theta = 67^{\circ}$. The measure of its supplement $\alpha$ is $\alpha=180^{\circ}-\theta$.

Step2: Calculate the supplement

$\alpha = 180 - 67=113^{\circ}$

Step3: Recall complement - angle formula

Complementary angles add up to 90°. Let the given angle be $\beta = 34^{\circ}$. The measure of its complement $\gamma$ is $\gamma = 90^{\circ}-\beta$.

Step4: Calculate the complement

$\gamma=90 - 34 = 56^{\circ}$

Answer:

Measure of the supplement: $113^{\circ}$
Measure of the complement: $56^{\circ}$