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. (1 point)
By the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.
Therefore, 2x + 3x + 4x = 180.
Combining like terms, we have 9x = 180.
Dividing both sides by 9, we find that x = 20.
Therefore, the smallest angle is 2x = 2(20) = 40 degrees.