Question

(a) un ángulo mide 73°. ¿cuál es la medida de su suplemento? (b) un ángulo mide 64°. ¿cuál es la medida de su complemento? medida del suplemento: medida del complemento:

Explanation:

Step1: Recall supplement - angle formula

The sum of an angle and its supplement is 180°. Let the given angle be $\theta = 73^{\circ}$. The measure of its supplement $\alpha$ is given by $\alpha=180^{\circ}-\theta$.

Step2: Calculate the supplement

$\alpha = 180 - 73=107^{\circ}$

Step3: Recall complement - angle formula

The sum of an angle and its complement is 90°. Let the given angle be $\beta = 64^{\circ}$. The measure of its complement $\gamma$ is given by $\gamma = 90^{\circ}-\beta$.

Step4: Calculate the complement

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

Answer:

medida del suplemento: $107^{\circ}$
medida del complemento: $26^{\circ}$