Answer:
Measures of each angle are as follows:
4. ∠BXC = 20°
5. ∠FXE = 85°
6. ∠GXD = 75°
7. ∠BXF = 75°
Step-by-step explanation:
#4
∠BXC is opposite ∠EXD and so it is the same as ∠EXD = 20°
#5
∠FXE is opposite ∠CXG and so it is the same as ∠CXG = 85°
#6
Angles ∠CXG, ∠GXD and ∠EXD line on a straight line so the sum of these angles must be 180°
∴ m∠CXG + m∠GXD + m∠EXD = 180°
Substituting known values for ∠CXG and ∠EXD we get
85 + ∠GXD + 20 = 180°
105 + m∠GXD = 180°
m∠GXD = 180-105 = 75°
#7
∠BXF is opposite ∠GXD which we computed in #6 to be 75°
So m∠BXF = m∠GXD = 75°
