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Nadya [2.5K]
3 years ago
15

Find the measure of the complement to an 18 degree angle. explain your answer

Mathematics
1 answer:
frozen [14]3 years ago
8 0
<span>The expression representing the complement of an angle (x):
(90 - x)
:
The expression representing the supplement of an angle (x)
(180 - x)
:
"the complement of an angle is 18 degrees more than 1/3 its supplement."
(90 - x) = (180-x) + 18
:
90 - x = 60 - x + 18; found one third of 180
:
90 - x = 78 - x
:

90 - 78 = -x + x
:
12 = +x
Multiply equation by 3 to get rid of the denominator
3(12) = 3*x
36 = 2x
x = 
x = 18 degrees</span>
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