Question

∠a and ∠b are complementary angles. ∠a measures 44°. 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 $\angle b$

Given $\angle a = 44^{\circ}$, then $\angle b=90^{\circ}-\angle a$. Substitute $\angle a = 44^{\circ}$ into the equation: $\angle b = 90 - 44$.
$\angle b=46^{\circ}$

Answer:

$46$