Question

An angle measures 62.6° less than the measure of its complementary angle. What is the

measure of each angle?
and

Answer 1

The angles are 13.7 degrees and 76.3 degrees

Explanation:

Let the complementary angle be x

When two angles are complementary, they add up to 90 degrees

So if one is x , the other would be (x-62.6) as stated by the question

so, adding this two will give 90 degrees

We have this as;

x + x -62.6 = 90

2x = 90 + 62.6

2x = 152.6

x = 152.6/2

x = 76.3

The other angle will be;

76.3 -62.6 = 13.7