Math, asked by saadkamal3211, 10 months ago

plz tell the answer i have online test tomorrow​

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Answered by mysticd
11

 i)BE \:is \:Transversal \: to \: AB \:and \: EF

 \angle {ABE} = \angle {BEF} = 70\degree

/* Alternate angles are equal */

 \therefore AB \parallel EF \: --(1)

 ii)CE \:is \:Transversal \: to \: CD \:and \: EF

 \angle {DCE} + \angle {CEF}

 = 140\degree + 40 \degree

 = 180\degree

/* Sum of interior angles same side of the the Transversal is supplementary */

 \therefore EF \parallel CD \: --(2)

/* From (1) and (2) */

 AB \parallel EF \: and \: EF \parallel CD

 \implies AB \parallel CD

/* Transitive Property */

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