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. *

2 points
10°
120°
36°
72°

1 answer

36°

Using the Triangle Angle Sum Theorem:

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

Substitute x back into the smallest angle which is 2x:

2(18) = 36°

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