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)

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Therefore, we can set up the equation:
2x + 3x + 4x =180

Combining like terms, we have:
9x = 180

Divide both sides of the equation by 9:
x = 20

Now, we can substitute the value of x back into the expression for the smallest angle:
2x = 2(20) = 40

Therefore, the measure of the smallest angle in this triangle is 40 degrees.