The angles of a triangle measure 2x

Question

, 3x
, and 4x
. Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle.Correct answers:
140

Answer 1

The sum of the angles in a triangle is always 180 degrees.

So, we have:
2x + 3x + 4x = 180
9x = 180
x = 20

Now we can find the measure of the smallest angle:
2x = 2(20) = 40

Therefore, the smallest angle in this triangle measures 40 degrees.