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 angles in a triangle is always 180 degrees.
Therefore, we can set up an equation to solve for x:
2x + 3x + 4x = 180
9x = 180
x = 20
Now that we have found the value of x, we can substitute it back into the equation for the smallest angle (2x):
2(20) = 40
Therefore, the measure of the smallest angle in the triangle is 40 degrees.