Question

find the complement and the supplement of the given angle. 31°. the complement of the angle is . the supplement of the angle is .

Explanation:

Step1: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\theta = 31^{\circ}$. The complement $C$ is $C=90^{\circ}-\theta$.

Step2: Calculate the complement

$C = 90^{\circ}-31^{\circ}=59^{\circ}$

Step3: Recall supplement formula

Supplementary angles add up to 180°. Let the supplement be $S$. Then $S = 180^{\circ}-\theta$.

Step4: Calculate the supplement

$S=180^{\circ}-31^{\circ}=149^{\circ}$

Answer:

The complement of the angle is $59^{\circ}$.
The supplement of the angle is $149^{\circ}$.