Question

The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

        3.6° and 86.4°

Step-by-step explanation:

24x   - measure of an angle

x      - the measure of a complementary angle

Complementary angles adds to 90°

x + 24x = 90°

25x = 90°

x = 90°÷25

x = 3.6°

24x = 24·3.6° = 86.4°