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.
So we have 2x + 3x + 4x = 180.
Combining like terms, we get 9x = 180.
Dividing both sides by 9, we find that x = 20.
Now we can find the measure of the smallest angle by substituting x back into the expression.
The smallest angle is 2x = 2(20) = 40 degrees.
Therefore, the measure of the smallest angle in this triangle is 40 degrees.