Question

write the algebraic expression described. recall that two angles are complementary if their sum is 90°. if one angle measures q°, express the measure of its complement in terms of q°. the measure of its complement in terms of q° is ()°

Explanation:

Step1: Recall complement - angle relation

Let the measure of the angle be $q^{\circ}$ and its complement be $x^{\circ}$. Since the sum of complementary angles is $90^{\circ}$, we have the equation $q + x=90$.

Step2: Solve for the complement

Solve the equation $q + x = 90$ for $x$. Subtract $q$ from both sides of the equation: $x=90 - q$.

Answer:

$90 - q$