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 sum of the angles in a triangle is always 180 degrees.
So, 2x + 3x + 4x = 180
Simplifying the equation, we get 9x = 180
Dividing both sides of the equation by 9, we get x = 20
To find the measure of the smallest angle, we substitute x = 20 into 2x:
2x = 2(20) = 40
Therefore, the measure of the smallest angle in this triangle is 40 degrees.