Help with my math homework please

m∠GEF and m∠FEM are linear pair.
So, m∠GEF + m∠FEM = 180
[tex]120^{0}[/tex] + m∠FEM = [tex]180^{0}[/tex]
m∠FEM = [tex]180^{0}[/tex] - [tex]120^{0}[/tex]
= [tex]60^{0}[/tex]
m∠GEF and m∠MEH are vertically opposite angles.
Therefore, m∠GEF = m∠MEH
m∠GEF = [tex]120^{0}[/tex]
m∠HEG and m∠FEM are vertically opposite angles.
Therefore, m∠HEG = m∠FEM
m∠HEG = [tex]60^{0}[/tex]
Similarly, the other angles can be found. Please refer to the attached table.