Question

(a) an angle measures 129°. what is the measure of its supplement? (b) an angle measures 52°. 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 $\theta_1 = 129^{\circ}$, and the supplement be $x$. Then $x=180^{\circ}-\theta_1$.
$x = 180 - 129$

Step2: Calculate the supplement

$x=51^{\circ}$

Step3: Recall complement - angle formula

Complementary angles add up to 90°. Let the given angle be $\theta_2 = 52^{\circ}$, and the complement be $y$. Then $y = 90^{\circ}-\theta_2$.
$y=90 - 52$

Step4: Calculate the complement

$y = 38^{\circ}$

Answer:

measure of the supplement: $51^{\circ}$
measure of the complement: $38^{\circ}$