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In this question, please note that BA and DC are parallel lines.
Therefore, angles PEF and EGH will have the same values( corresponding angles). EGH= 85 degrees.
Now knowing the supplementary angle rule, EGH and QGH are on the same line so they add up to 180.
QGH= 180-85= 95 degrees
Similarly, QHC and QHG are supplementary. QHG= 180-115= 65 degrees
Finally in the triangle QGH, all the angles add up to 180.
Therefore, 95+65+x= 180
x= 20 degrees
Hope this helps.
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