Answer:
x = 5, <DEG = 112, <GEF = 68, <DEF = 180
Explanation:
<DEG + <GEF = 180
23x - 3 + 12x + 8 = 180
35x + 5 = 180
Subtract 5 from both sides
35x = 175
Divide each side by 35
x = 5
Plug x = 5 into <DEG
23x - 3
23(5) - 3
<DEG = 112
Plug x = 5 into <GEF
12x + 8
12(5) + 8
<GEF = 68
<DEF is a straight angle so it automatically is 180