in the given figure, show that AB||EF
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As angle abc is equal to angle BCD (alternate interior angles)
So AB || CD. equation 1
and now the sum of angle FEC and angle ECD is equal to 180 degrees (adjacent angles)
So EF || CD. equation 2
From equation 1 and equation 2
AB||EF
Hence proved...
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Refer to above attachment for the proof.
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