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)

Answer 1

The Triangle Angle 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, we have:
9x = 180

Divide both sides of the equation by 9:
x = 20

Now, we can substitute the value of x back into the expression for the smallest angle:
2x = 2(20) = 40

Therefore, the measure of the smallest angle in this triangle is 40 degrees.