Question 155817
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)


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