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 equal to 180 degrees. Therefore, we have:
2x + 3x + 4x = 180
9x = 180
x = 20
Now, we can find the measures of each angle:
2x = 2(20) = 40 degrees
3x = 3(20) = 60 degrees
4x = 4(20) = 80 degrees
Therefore, the smallest angle in this triangle is 40 degrees.