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SOLUTION: find the value of each angle if angle A is 18 more than twice its suppliment
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Question 529784
:
find the value of each angle if angle A is 18 more than twice its suppliment
Found 2 solutions by
swincher4391, MathTherapy
:
Answer by
swincher4391(1075)
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By definition, a pair of supplementary angles are angles that add up to 180º. Remember that.
So let's call our two angles A and B.
Let A+B = 180
And let A = 18+B ---> A-B = 18
Then we have a system of equations.
A+B = 180
A-B = 18
Notice if we added these two equations we would eliminate B. That's good.
2A = 198
A = 99
Sub 99 back in for A. 99 + B = 180 Then B = 81.
Our two angles are 99 and 81.
Answer by
MathTherapy(4047)
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Show Source
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put this solution on YOUR website!
find the value of each angle if angle A is 18 more than twice its suppliment
Let angle's measure be A
Then its supplement = 180 - A
We can therefore say that: A = 2(180 -A) + 18
A = 360 - 2A + 18
A + 2A = 360 + 18
3A = 378
A, or angle =
, or
Other angle (its supplement) = 180 - 126, or
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