Answer/Step-by-step explanation:
8. m<DEF = 122°
m<FEG + m<DEF = 180° (Angles on a straight line)
m<FEG + 122 = 180 (Substitution)
m<FEG = 180 - 122
m<FEG = 58°
9. m<BOC = 27°
m<AOC = 47°
m<AOB + m<BOC = m<AOC (angle addition postulate)
m<AOB + 27 = 47 (substitution)
m<AOB = 47 - 27 (Subtraction property of equality)
m<AOB = 20°