Question

8

MZDEF=122
What are mZFEG and mZHEG?
Each angle measure is in degrees.
D
G
H
А
B
mZFEG = 122, mZHEG= 58
mZFEG - 58, mZHEG - 132
mZFEG= 68, mZHEG = 122
mZFEG = 58, m_HEG = 122
С
D

Answer 1

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°