in the given figure ab||cd and bc||de show that \_x=\_y
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Step-by-step explanation:-
\_ABC=\_BCD (Alternate angles)
\_ABC=\_BCD= X
\_BCD=\_CDE (Alternate angles)
X=Y
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since AB//CD so
angle ABC = angle BCD (by alternate interior angle )
since BC//DE so
and angle BCD=angleCDE..( by alternate interior angle)
so angle ABC=angle CDE
angle x = angle y
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