What is the degree measure of the smaller of the 2 angles

What is the degree measure of the smaller of the 2 angles formed by the line and the ray shown in the figure below?

  1. 14°
  2. 28°
  3. 29°
  4. 58°
  5. Cannot be determined from the given information

Answer

The correct answer is D.

Because the base is a straight line, these two angle measures add up to 180°.

(4x + 6) + (2x) = 180

6x + 6 = 180

x + 1 = 30

x = 29

This makes one angle measure 4(29) + 6 = 122 degrees and the other angle measure 2(29) = 58 degrees.