Two angles are supplementary. The first angle is 4x degrees. The second angle is (2x+6) degrees. Determine the measure of each angle

116 and 64 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees so we can create the following equation and solve for x:

4x + 2x + 6 = 180

6x + 6 = 180

6x = 180 - 6 = 174

x = 174/6 = 29.

So the first angle is 4*29 = 116 degrees and the second is 2*29 + 6 = 64 degrees.

To confirm these results add them up: 116 + 64 = 180 degrees.