Given that the quadrilateral EFGH is a trapezoid, m<H=65 degrees, and m<HEG=73 degrees calculate m<FGE
23 degrees
17 degrees
25 degrees
27 degrees
none of these
Since EFGH is a trapezoid, the opposite angles are supplementary (add up to 180 degrees). Therefore,
m<FGE + m<HEG = 180 degrees
Substituting in the given angles,
m<FGE + 73 = 180
Subtracting 73 from both sides,
m<FGE = 107 degrees
However, this answer does not fall within the answer choices provided. Therefore, there may be an error in the problem or answer choices.