The measure of an angle is 6 less than 5 times its complement. what is the measure of the complement
2 answers:
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
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 <==
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