Question

1. if the measure of an angle is 38°, find the measure of its complement.

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90°. Let the angle be \(x\). Its complement is \(90 - x\). Given \(x = 38^{\circ}\).

Step2: Calculate the complement

The measure of the complement of an angle \(x\) is \(90^{\circ}-x\). Substitute \(x = 38^{\circ}\) into the formula: \(90^{\circ}-38^{\circ}=52^{\circ}\).

Answer:

\(52^{\circ}\)