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

Answer 1

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.