Question

$\angle a$ and $\angle b$ are complementary angles. $\angle a$ measures $37^{circ}$. what is the measure of $\angle b$?

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 $\angle a$

Since $\angle a = 37^{\circ}$, then $\angle b=90^{\circ}-37^{\circ}=53^{\circ}$.

Answer:

$53$