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)
According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is 180 degrees. Therefore, we have:
2x + 3x + 4x = 180
9x = 180
x = 20
Now we can find the measure of the smallest angle:
2x = 2(20) = 40 degrees
So, the measure of the smallest angle in this triangle is 40 degrees.