The missing angles are:
m∠7 = 100°
m∠1 = 100°
m∠3 = 100°
m∠6 = 89°
m∠2, m∠8 and m∠4 = 89°
How to find the missing angle?
We are given that m∠5 = 100.
Opposite angles are congruent.
Corresponding angles are congruent.
Thus:
m∠5 and m∠7 are Opposite angles
m∠5 and m∠1 are Corresponding angles
Thus:
m∠7 = 100°
m∠1 = 100°
m∠3 = 100°
m∠6 forms a linear pair with m∠5 and as such:
m∠6 = 180 - 100
m∠6 = 89°
Similarly:
m∠2, m∠8 and m∠4 = 89°