Question

the measure of an angle is 40°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary angle definition

Complementary angles sum to \(90^\circ\). Let the complementary angle be \(x\). So, \(40^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(40^\circ\) from both sides: \(x = 90^\circ - 40^\circ\)
\(x = 50^\circ\)

Answer:

\(50\)