SOLUTION: The supplement of an angle is 30 degree less than twice the angle. Find the angle.

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Question 195992: The supplement of an angle is 30 degree less than twice the angle. Find the angle.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


We know supplementary angles add to 180 deg.

So, A + B =180, Working Eqn.

*note, B is a supplement of A and as per condition:

B = 2A - 30 deg (twice the angle less 30 deg)


Substitute condition to our Working Eqn.
A%2Bhighlight%282A-30%29=180
3A=180%2B30=210 ---> cross%283%29A%2Fcross%283%29=cross%28210%2970%2Fcross%283%29
red%28A=70%5Eo%29, Answer

To check supplement angle ( via working Eqn)
70%2BB=180
B=180-70=red%28110%5Eo%29

Or via condition:
B=2%28A%29-30=2%2A70-30=140-30
red%28B=110%5Eo%29

Thank you,
Jojo