Question

find the measure of an angle if its measure is 5 degrees less than four times the measure of its complement

Answer 1

angle + its complement = 90 degree

Let the complement angle = x degrees
then the angle = (4x - 5) degrees

Since their sum has to be 90 degree
x + (4x - 5) = 90

Now solve to get value of x...

Answer 2

How do I do that?

Answer 3

x + 4x - 5 = 90
5x - 5 = 90
5x = 90 - 5
x = 85/5
x = 17

Answer 4

The answer choices are 19 degrees, 37, 143, and 71 though.

Answer 5

I made a slight mistake, here is the correct solution

x + 4x - 5 = 90
5x - 5 = 90
5x = 90 + 5
x = 95/5
x = 19

The required angle is 4x - 5 = 4(19) - 5 = 76 - 5 = 71

Answer 6

Thank you!