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)
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According to the Triangle Angle Sum Theorem, the sum of the measures of the angles in a triangle is 180 degrees.
So, 2x + 3x + 4x = 180.
9x = 180.
x = 180/9 = 20.
Therefore, the measure of the smallest angle is 2x = 2(20) = <<2*20=40>>40 degrees.