The angles of a triangle measure 2x 3x and 4x. using the triangle sum theorem, find the measure of the smallest angle in this triangle. (1 point)
According to the Triangle Sum Theorem, the sum of the interior angles of a triangle is always 180 degrees.
So, 2x + 3x + 4x = 180.
Combining like terms, 9x = 180.
Dividing both sides by 9, x = 20.
Therefore, the smallest angle measures 2x = 2(20) = 40 degrees.