SOLUTION: The measure of angle A of a triangle is 20 degrees more than the measure of angle B. The measures of the angles are in a ratio of 3 to 4. Find the measure of each.

Question 287286: The measure of angle A of a triangle is 20 degrees more than the measure of angle B. The measures of the angles are in a ratio of 3 to 4. Find the measure of each.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

1) a=b+20
2) 3/4=b/a
Only these two equations are needed
3/4=b/(b+20)
4b=3*(b+20)
4b=3b+60
b=60
a=b+20=80
a=80
a+b+c=180
a=80,b=60, c=40
Curiously the relationship is not 3/4=a/b
3/4=a/b
a=b+20
3/4=b+20/b
3b=4*(b+20)
3b=4b+80
-80=b
-60=a
This way they have negative angles.

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