Question 868446
The sum of all interior angles in any triangle is 180 degree. since the three angles are 2x, 6x and 10x, respectively. Thus, the sum of 2x, 6x and 10x must be equal to 180 degree.

2x + 6x + 10x = 180
18x = 180
x = 180/18
x = 10

10x would be the largest angle measurement.
Therefore, the largest interior angle would be 10 multiply with x (now we know that x = 10 from the earlier solution), which would give us 10 X 10 = 100 degree.

Conclusion: 100 degree would be the largest angle measurement in this triangle.