The angles of a triangle measure 2x, 3x, and 4x. Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle.
According to the Triangle Angle Sum Theorem, the sum of the three angles in any triangle is always 180 degrees.
So, we can set up an equation:
2x + 3x + 4x = 180
9x = 180
x = 20
Now we can find the measures of the angles:
2x = 2(20) = 40 degrees
3x = 3(20) = 60 degrees
4x = 4(20) = 80 degrees
Therefore, the smallest angle in this triangle is 40 degrees.