SOLUTION: The first angle of a triangle is 15 degrees more than the second triangle. The third angle of a triangle is three times the second angle. Use x to represent the unknown Value. ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The first angle of a triangle is 15 degrees more than the second triangle. The third angle of a triangle is three times the second angle. Use x to represent the unknown Value. ?      Log On


   

Question 107259: The first angle of a triangle is 15 degrees more than the second triangle. The third angle of a triangle is three times the second angle. Use x to represent the unknown Value.
? The first angle
? the second angle
? the third angle
Found 2 solutions by Annabelle1, scott8148:
Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
The first angle of a triangle is 15 degrees more than the second triangle. The third angle of a triangle is three times the second angle. Use x to represent the unknown Value
let the second angle be x
the first angle is then x+15
the third angle is 3 times the second so it is 3x
all these add to 180 degrees (angle sum of triangle)
x+(x+15)+3x=180
5x+15=180
minus 15 from both sides of the equals sign
5x+15-15=180-15
5x=165
divide both sides by 5
x=165/5
x=33
so the second angle is 33
the first is 33+15=48
the third is 3 times 33=99

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=second, so x+15=first and 3x=third

x+(x+15)+(3x)=180