Question

directions: type your answer in the box.
what is the measure of an angle that is complementary to \\( \angle d e f \\)?
the measure of an angle that is complementary to \\( \angle d e f \\) is degrees.

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). Let the measure of \(\angle DEF = 43^{\circ}\), and let the measure of the complementary angle be \(x\). Then \(x+\angle DEF=90^{\circ}\).

Step2: Solve for \(x\)

Substitute \(\angle DEF = 43^{\circ}\) into the equation \(x + 43^{\circ}=90^{\circ}\). Using the subtraction property of equality, \(x=90^{\circ}- 43^{\circ}\).

$$x = 47^{\circ}$$

Answer:

\(47\)