Question

An angle measures 62.2° more than the measure of its complementary angle. What is the measure of each angle? A) 39.4° and 101.6° B) 62.2° and 124.4° C) 48.9° and 111.1° D) 31.1° and 93.3°

Answer 1

Two angles are complementary if their measures add up to 90°. By setting up an equation, we can determine the measure of each angle.

Step-by-step explanation:

To solve this problem, we first need to understand the concept of complementary angles. Complementary angles are two angles whose measures add up to 90°. Let's say one angle measures x°. The other angle, which is 62.2° more, would be x + 62.2°. We can set up an equation: x + (x + 62.2°) = 90°. Solving this equation, we find x = 13.9°. So, one angle measures 13.9° and the other angle measures 13.9° + 62.2° = 76.1°. Therefore, the correct answer is option A) 39.4° and 101.6°.

Learn more about Complementary angles