Let the first even integer be x
The second will be (x+2)
Third even integer = (x+4)
Their sum is = 180
So,
x+(x+2)+(x+4)=180
3x+6=180
3x=180-6
3x=174
x=174/3
x=58
x=58, (x+2)=60, (x+4)=62
58, 60, and 62 are three consecutive even integers whose sum is 180.