Question

An angle measures 23.6° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

The total answer is 45.7

Answer 2

56.8 AND 33.2

Explanation:

Complementary angles add up to 90 degrees, so we can set up the equation:

x + (x - 23.6) = 90

Simplifying the equation, we get:

2x - 23.6 = 90

Adding 23.6 to both sides, we get:

2x = 113.6

Dividing by 2, we get:

x = 56.8

So one angle measures 56.8 degrees, and its complementary angle measures:

90 - 56.8 = 33.2 degrees.