SOLUTION: The sum of the interior angles of a triangle can be represented by three consecutive even integers. Name the three integers and show the steps in finding them

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Question 305846: The sum of the interior angles of a triangle can be represented by three consecutive even integers. Name the three integers and show the steps in finding them
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up:
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The interior angles of a triangle add up to 180
Equation 1: X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180
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Solution:
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X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180
Combine like terms
3X+%2B+3+=+180 Subtract 3 from both sides
3X+=+177 Divide both sides by 3
highlight%28X+=+59%29
Plug 59 into the equation for X
X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180
59+%2B+%2859+%2B+1%29+%2B+%2859+%2B+2%29+=+180
59+%2B+60+%2B+61+=+180
180+=+180
59, 60 & 61 are your three angles