SOLUTION: The 2nd angle of a triangle is 6 times the 1st angle.If the 3rd angle is 45 degrees more than twice the 1st angle, find the measure of each?

Question 155817: The 2nd angle of a triangle is 6 times the 1st angle.If the 3rd angle is 45 degrees more than twice the 1st angle, find the measure of each?
Found 2 solutions by HyperBrain, janine_212:
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
let x=the 1st angle
then,
the 2nd angle is 6x
the 3rd angle is x+45
But, the sum of angles in a triangle is 180 degrees.
So,
x+(6x)+(2x+45)=180
x+6x+2x+45=180
(6+1+2)x+45=180
9x+45=180
9x+45-45=180-45
9x+0=135
9x=135
x=15------the first angle
6x=6*15=90----------the 2nd angle
2x+45=2*15+45=30+45=75---------the 3rd angle
you may check by adding the angles (it MUST be 180 to be correct)

Power up,
HyperBrain!
Answer by janine_212(1) (Show Source): You can put this solution on YOUR website!
let x=the 1st angle
then,
the 2nd angle is 6x
the 3rd angle is x+45
But, the sum of angles in a triangle is 180 degrees.
So,
x+(6x)+(2x+45)=180
x+6x+2x+45=180
(6+1+2)x+45=180
9x+45=180
9x+45-45=180-45
9x+0=135
9x=135
x=15------the first angle
6x=6*15=90----------the 2nd angle
2x+45=2*15+45=30+45=75---------the 3rd angle
you may check by adding the angles (it MUST be 180 to be correct)
Power up,
HyperBrain!
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