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

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.