The angles of a triangle measure 2x 3x and 4x using the Triangle Sum Theorem find the measure of the smallest angle in this triangle
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, we can set up the equation:
2x + 3x + 4x = 180
Combining like terms:
9x = 180
Dividing by 9 on both sides, we get:
x = 20
Now, we can find the measure of the smallest angle by substituting x back into the expression for the smallest angle:
2x = 2*20 = 40 degrees
Therefore, the measure of the smallest angle in this triangle is 40 degrees.