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. %0D%0A*%0D%0A2 points%0D%0A10°%0D%0A120°%0D%0A36°%0D%0A72°

Answer 1

The sum of the angles of a triangle is 180°.

Therefore, 2x + 4x + 4x = 180

10x = 180

x = 18

Now, we can find the measure of the smallest angle:
2x = 2 * 18 = 36°

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