SOLUTION: The measure of the second angle of a triangle is 44 more than that of the first angle, and the third angle is 28 less than twice the second angle. Find the measures of all three an

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Question 1060278: The measure of the second angle of a triangle is 44 more than that of the first angle, and the third angle is 28 less than twice the second angle. Find the measures of all three angles.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= measure (in degrees) of the first angle
y=x%2B44= measure (in degrees) of the second angle
z=2y-28=2%28x%2B44%29-28= measure (in degrees) of the third angle
The sum of the three angles must be 180%5Eo , so
x%2B%28x%2B44%29%2B%282%28x%2B44%29-28%29=180 is our equation.
Simplifying:
x%2B%28x%2B44%29%2B%282%28x%2B44%29-28%29=180
x%2Bx%2B44%2B%282x%2B88-28%29=180
2x%2B44%2B%282x%2B60%29=180
2x%2B44%2B2x%2B60=180
4x%2B104=180
Solving:
4x%2B104=180
4x=180-104
4x=76
x=76%2F4
x=19 .
y=19%2B44=63
z=2%2A63-28=126-28=98
So the first angle measures highlight%2819%5Eo%29 ,
The second angle measures highlight%2863%5Eo%29 ,
and the third angle measures highlight%2898%5Eo%29 .