Question

(angle a) and (angle b) are complementary angles. (angle a) measures (55^{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 $\angle a$

Given $\angle a = 55^{\circ}$, then $\angle b=90^{\circ}-55^{\circ}=35^{\circ}$.

Answer:

$35$