Question

∠a and ∠b are complementary angles. ∠a measures 55°. 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 $\angle b$

$\angle b=90^{\circ}-\angle a$. Given $\angle a = 55^{\circ}$, then $\angle b=90^{\circ}-55^{\circ}$.

Step3: Calculate the value of $\angle b$

$\angle b = 35^{\circ}$

Answer:

35