SOLUTION: The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles? I tried

Algebra ->  Triangles -> SOLUTION: The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles? I tried       Log On


   

Question 544812: The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles?
I tried adding together 69 and 24 and subtracting it from 180 but then I realized that wasn't correct. I don't really know how to do problems like this.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The second angle in a triangle is 24 degrees larger then the first. And the third angle is 69 degrees larger than the second. What are the measures of all three angles?
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Let 1st be "x":
Then 2nd is "x+24":
And 3rd is "x+24+69"
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Equation:
x + x+24 + x + 93 = 180
3x = 180-117
3x = 63
x = 21 degrees
x+24 = 45 degrees
x+93 = 114 degrees
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Cheers,
Stan H.
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