Q. 54.6( 26 Votes )

In the given figure, AB||CD ||EF. Find the value of x.


Answer :

X=20


Given AB||CD||EF, ABC = 70° and CEF = 130°


AB||CD


Therefore,


ABC = BCD = 70° [Alternate angles] ________________ (i)


EF||CD


Therefore,


DCE + CEF = 180°


DCE + 130° = 180°


DCE = 50°


Now,


BCE + DCE = BCD


x + 50° = 70°


x = 20°


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