SOLUTION: The measures of the angles of a certain triangle are consecutive even integers. Find the measures.

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Question 165217: The measures of the angles of a certain triangle are consecutive even integers. Find the measures.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=first angle, x+2=second angle, x+4=third angle


Remember, the sum of three angles in a triangle is 180 degrees. So this means that x%2Bx%2B2%2Bx%2B4=180
x%2Bx%2B2%2Bx%2B4=180 Start with the given equation.


3x%2B6=180 Combine like terms on the left side.


3x=180-6 Subtract 6 from both sides.


3x=174 Combine like terms on the right side.


x=%28174%29%2F%283%29 Divide both sides by 3 to isolate x.


x=58 Reduce.


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Answer:

So the answer is x=58


So this means that the three angles are 58, 60, and 62