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 trangle
The sum of the angles in a triangle is always 180 degrees.
Therefore, we can write the equation:
2x + 3x + 4x = 180
Combining like terms:
9x = 180
Dividing both sides by 9:
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 smallest angle in the triangle measures 40 degrees.