The angles of a triangle measure 2x, 4x, and 4x. Using the Triangle Angle Sum Theorem (Remember the sum of angles for all triangles is always 180 °). Find the measure of the smallest angle in this triangle.

Question

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2 points
10°
120°
36°
72°

Answer 1

To find the measure of the smallest angle in the triangle, we need to add up all the angle measures and set it equal to 180°.

2x + 4x + 4x = 180°
10x = 180°
x = 18°

Now we can find the measure of the smallest angle by plugging in x:

2(18) = 36°

Therefore, the measure of the smallest angle in this triangle is 36°. So the correct answer is 36°.