Answer:
x = -7
m<GFD = 50°
m<CFD = 40°
Segment FD doesn't bisect <CFG because the angles aren't equal.
Explanation:
<CFD and <GFD are complementary angles and their sum is 90°
-5x + 5 -7x + 1 = 90° add like terms
-12x + 6 = 90
-12x = 84 divide both sides by -12
x = -7
m<CFD is -5x + 5 ➡ (-5)×(-7) + 5 = 40°
m<GFD is -7x + 1 ➡ (-7)×(-7) + 1 = 50°