Question

2 determine the complement of each angle measure. a 10° b 75° c 45°

Explanation:

Step1: Recall complement - angle formula

Complementary angles add up to 90°. Let the given angle be $\theta$, and its complement be $\alpha$. Then $\theta+\alpha = 90^{\circ}$, so $\alpha=90^{\circ}-\theta$.

Step2: Calculate complement of 10°

For $\theta = 10^{\circ}$, $\alpha=90^{\circ}-10^{\circ}=80^{\circ}$.

Step3: Calculate complement of 75°

For $\theta = 75^{\circ}$, $\alpha=90^{\circ}-75^{\circ}=15^{\circ}$.

Step4: Calculate complement of 45°

For $\theta = 45^{\circ}$, $\alpha=90^{\circ}-45^{\circ}=45^{\circ}$.

Answer:

a. $80^{\circ}$
b. $15^{\circ}$
c. $45^{\circ}$