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

1 answer

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.
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