Question

the measure of an angle is 6 less than 5 times its complement. what is the measure of the complement

Answer 1

complimentary angles, when added, = 90 degrees
so if one angle is x, then its compliment is 90 - x

x = 5(90 - x) - 6
x = 450 - 5x - 6
x + 5x = 450 - 6
6x = 444
x = 444/6
x = 74

and its compliment is : 90 - x.....90 - 74 = 16 <==

Answer 2

complimentary angles = 90

complement = c

angle = x

x = 5(c - x) - 6

x = 5(90 - x) - 6

x = 450 - 5x - 6

x (+5x) = -5x (+5x) + 444

6x = 444

6x/6 = 444/6

x = 74

plug back into equation

90 - 74 = 16

16 is your answer

hope this helps