SOLUTION: In a triangle the measure of the second angle is 30 degrees more than the measure of the first angle, and the measure of the third angle is 45 degrees more than the measure of the

Algebra ->  Angles -> SOLUTION: In a triangle the measure of the second angle is 30 degrees more than the measure of the first angle, and the measure of the third angle is 45 degrees more than the measure of the       Log On


   



Question 824536: In a triangle the measure of the second angle is 30 degrees more than the measure of the first angle, and the measure of the third angle is 45 degrees more than the measure of the first angle. Find the number of degrees in each angle of the triangle.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = first angle
y = second angle
z = third angle
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y = x + 30
z = x + 45
x + y + z = 180
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put the system of linear equations into standard form
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x - y = -30
x - z = -45
x + y + z = 180
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answer:
x = first angle = 35 degrees
y = second angle = 65 degrees
z = third angle= 80 degrees
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