Question

An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

The angles are 69.2 degrees and 20.8 degrees

Explanation:

Complementary angles, when added together, = 90°

We’ll call the first unknown angle a and the second angle b

b = a - 48.4

a + b = 90

So let’s substitute in for b in the second equation:

a + a - 48.4 = 90

2a - 48.4 = 90

2a = 138.4

a = 69.2

69.2 - 48.4 = 20.8 = b

Now, does a + b = 90?

69.2 + 20.8 = 90

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