Answer:
21
108
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other.
EG = FH
5x - 8 = 4x + 2
x = 10
EI = (1/2)EG
EI = (1/2)(5x - 8)
EI = (1/2)(42)
EI = 21
m<IGF = 36
m<IFG = m<IGH = 36
m<IFG + m<IGH + m<FIG = 180
36 + 36 + m<IGH = 180
m<IGH = 108
m<EIH = m<IGH (vertical angles)
m<EIH = 108
