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. (1 point)

Answer 1

According to the Triangle Sum Theorem, the sum of the interior angles of a triangle is always 180 degrees.

So, 2x + 3x + 4x = 180.

Combining like terms, 9x = 180.

Dividing both sides by 9, x = 20.

Therefore, the smallest angle measures 2x = 2(20) = 40 degrees.