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Zolol
[24]
3 years ago
15
What is the measure of an angle if it is 70 less than three times its own complement?
Mathematics
Answer
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2
answers:
anzhelika
[568]
3 years ago
4
0
Let the angle be x.
Hence, its complement is 90 - x.
x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x
4x = 200
x = 50
Thus, the angle is 50°.
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lyudmila
[28]
3 years ago
4
0
The complement of an angle is what you add to it to get 90 degrees
if the angle is x, then the complement is y such that x+y=90
an angle is 70 less than 3 times it's complement
x=-70+3y
hmm
x+y=90
minus x both sides
y=90-x
subsitute 90-x for y
x=-70+3y
x=-70+3(90-x)
x=-70+270-3x
x=200-3x
add 4x to both sides
4x=200
divide both sides by 4
x=50
the angle is 50°
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