SOLUTION: I need help solving a percent word problem that involves degrees. The combination of percentages and degrees confused me, so I really didn't know how to work it. This is the proble

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Question 249678: I need help solving a percent word problem that involves degrees. The combination of percentages and degrees confused me, so I really didn't know how to work it. This is the problem: "The size of the smallest angle of a triangle is 30% of the size of the largest angle, and the size of the third angle is 20degrees more than the smallest angle. Find the size of each angle."
Any help or info on this would be a great help since I have sevral others like this one. Thanks.
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
"The size of the smallest angle of a triangle is 30% of the size of the largest angle, and the size of the third angle is 20degrees more than the smallest angle. Find the size of each angle."
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Let the largest angle have size = "x":
Then smallest angle has size 0.30x.
And size of third angle = "0.30x+20"
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Equation:
x + 0.30x + 0.30x+20 = 180
1.6x = 160
x = 100 degrees (largest angle)
0.30x = 30 degrees (smallest angle)
0.30x + 20 = 50 degrees (3rd angle)
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Cheers,
Stan H.
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Cheers,
Stan H.

Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!

let a=an angle
b=another angle
c=a different angle
a+b+c=total degrees
How many degrees are there in the angles of a triangle?
How do you write percentages as a fraction or a decimal?
If I say that the first angle is 50% of the second angle,
I write it as a=.50b
If I say that the third angle is 35 degrees more than the the smallest.
I mean c=a+35
Warning !!Do not use a=.50b nor c=a+35 in the problem. They are examples.