To find the measurement of the smallest angle of the triangle, we first need to know some information about the triangle. Since a triangle has a total of 180 degrees, we can use this information to find the measurement of the smallest angle.
Let the three angles of the triangle be denoted as A, B, and C. The sum of the three angles is equal to 180 degrees, so we can write the equation:
A + B + C = 180
We also know that one of the angles is x, another angle is 2x, and the third angle is x+12. So we can write the equation:
x + 2x + x + 12 = 180
Combining like terms, we get:
4x + 12 = 180
Subtracting 12 from both sides:
4x = 168
Dividing by 4:
x = 42
Now we can find the measurement of the smallest angle by substituting x back into the equation:
x = 42
So, the smallest angle is x = 42 degrees.