In the figure given below, AB parallel DE and AC parallel DF, Prove that angle BAC= angle EDF.
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Answer:
Given : AB II DE, AC II DF
(Intersection of AC and DE to be taken as O)
To prove: BAC = EDF
Proof:
BAC = EOC
(Corresponding angles; given that AB II DE)
EOC = EDF
(Corresponding angles; given that AC II DF)
Since,
BAC = EOC
EOC = EDF
Therefore,
BAC = EOC
Hence, proved.
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