Find out the math problems in the first semester. (Mathematics in the second volume of the seventh grade)

If the straight lines AB∥CD, ∠ EFA = 30, ∠ FGH = 90, ∠ HMN = 30 and ∠ CNP = 50, the size of ∠GHM is-

Auxiliary line? Extend the intersection of PM and EG at point K? The PM extension line intersects AB at point l.

Because? AB//CD？ So ∠ alm = ∠ LND = 50.

So ∠ mkg = ∠ bfg+∠ ALM = 80.

And because ∠ hmn = 30.

So ∠ hmk = 150.

It is known that ∠ fgh = 90

In summary

∠GHM=360-∠HMK-∠MKG-∠MGH

=360 - 150 -80 -90

=40

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