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)

Answer 1

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.