a) In Fig. 2, AB || CD || EF. Find the measure of all angles of the quadrilateral BGEF.
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AB∣∣CD
EF is transversal
∠AGE=45
∘
∠EGB+45=180
⟹∠EGB=135
∘
∠AGH=135
∘
⟹∠GHC=45
∠GHD=135
∠DHF=45
∠FHC=135
∠GHC=45
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Answer:
B=85°
E=105°
G=75°
F=95°
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