Question

the measure of an angle is 83°. find the measure of its complement. answer: degrees

Explanation:

Step1: Recall the definition of complementary angles

Two angles are complementary if their sum is 90 degrees. Let the given angle be \(x = 83^{\circ}\), and its complement be \(y\). Then \(x + y=90^{\circ}\).

Step2: Solve for the complement

We can find \(y\) by subtracting \(x\) from 90. So \(y = 90 - x\). Substitute \(x = 83\) into the equation: \(y=90 - 83\).

Answer:

7