Question

∠a and ∠b are complementary angles. ∠a measures 28°. what is the measure of ∠b?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to 90°. So, $\angle a+\angle b = 90^{\circ}$.

Step2: Solve for $\angle b$

$\angle b=90^{\circ}-\angle a$.

Step3: Substitute the value of $\angle a$

Given $\angle a = 28^{\circ}$, then $\angle b=90^{\circ}-28^{\circ}=62^{\circ}$.

Answer:

$62$