Question

Angle DEF and angle FEG are supplementary. The measure of angle DEF = (9x +1) and the measure of angle FEG = (8x + 9). What is the measure of angle FEG?

Answer 1

Look this attach file, please.

Answer 2

Here's a hint: supplementary add up to 180 degrees. Set up an equation adding the two angles (9x+1)+(8x+9) and set it equal to 180. Solve for x and then plug your answer for x into the value given for FEG (8x+9). That should give you the answer.