Question

the measure of an angle is 43°. 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 \(a = 43^{\circ}\), and the complementary angle be \(x\). Then \(a + x=90^{\circ}\).

Step2: Solve for the complementary angle

We can rewrite the equation as \(x = 90^{\circ}-a\).
Substitute \(a = 43^{\circ}\) into the equation: \(x=90^{\circ}- 43^{\circ}\).
\(x = 47^{\circ}\)

Answer:

47