in the figure AB, CD and EF are three parallel lines they are interested by a transversal t. find the measures of angels x and y.
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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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