Question

Help with my math homework please

Answer 1

m∠GEF and m∠FEM are linear pair.

So, m∠GEF + m∠FEM = 180

`120^(0)` + m∠FEM =
`180^(0)`

m∠FEM =
`180^(0)` -
`120^(0)`

=
`60^(0)`

m∠GEF and m∠MEH are vertically opposite angles.

Therefore, m∠GEF = m∠MEH

m∠GEF =
`120^(0)`

m∠HEG and m∠FEM are vertically opposite angles.

Therefore, m∠HEG = m∠FEM

m∠HEG =
`60^(0)`

Similarly, the other angles can be found. Please refer to the attached table.