1.

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Answer»

i)BE \:is \:<klux>TRANSVERSAL</klux> \: 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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