Question

the measure of an angle is 75°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let the given angle be \(A = 75^{\circ}\) and its complement be \(x\). Then \(A + x=90^{\circ}\).

Step2: Solve for the complement

We can find \(x\) by subtracting the given angle from 90°. So \(x = 90^{\circ}-75^{\circ}\).
\(x = 15^{\circ}\)

Answer:

15