Question

What is the measure of the angle that is 26 more than three times its complement

Answer 1

74

Explanation:

Let x be the angle being discussed. By definition, two angles are complementary if they add to 90 degrees. So, the complement of angle x is (90 - x). So, the equation is

x = 26 + 3(90-x)

x = 26 + 270 - 3x

4x = 296

x = 74

So, the complement of angle x is (90-74)=16 degrees

To check:

74 = 26 + 3(16)

74 = 26 + 48

74 = 74

I hope this was helpful!