SOLUTION: Please help with: The measures of the angles of a triangle are 3 consecutive even integers. Find the measure of each angle

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Question 159627This question is from textbook
: Please help with: The measures of the angles of a triangle are 3 consecutive even integers. Find the measure of each angle This question is from textbook

Found 2 solutions by Fombitz, checkley77:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the first angle, the other two are A+1 and A+2 because they are consecutive.
Their sum is 180.
A%2B%28A%2B1%29%2B%28A%2B2%29=180
3A%2B3=180
3A=177
A=59
The three angles are 59,60, and 61.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+2+x+4=180
3x=180-6
3x=174
x=174/3
x=58 smallest angle.
58=2=60 for the next largest angle.
58+4=62 for the largest angle.
Proof:
58+60+62=180
180=180