SOLUTION: Thanks for the help on the other problem. Please help me on this word problem too. (((The first angle of a triangle measures 20 degrees larger than the second angle of a triangle.

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Question 147103: Thanks for the help on the other problem. Please help me on this word problem too.
(((The first angle of a triangle measures 20 degrees larger than the second angle of a triangle. The third angle measures twice as large as the second angle. Find the measures of these three angles.)))
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key to this one is that the
3 angles of a triangle add up to 180 degrees
Call the angles a,b, and c
a+=+b+%2B+20
c+=+2b
a+%2B+b+%2B+c+=+180
Now substitute for a and c in the last equation
b+%2B+20+%2B+b+%2B+2b+=+180
4b+=+180+-+20
4b+=+160
b+=+40
a+=+b+%2B+20
a+=+40+%2B+20
a+=+60
c+=+2b
c+=+80
The angles are 60, 40, and 80 degrees
If you plug these numbers back into the original
equations, do they check OK? Try it.