Question

the measure of an angle is 43°. 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, \(43^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(43^\circ\) from both sides: \(x = 90^\circ - 43^\circ\).
Calculate: \(x = 47^\circ\).

Answer:

\(47^\circ\)