Q. 64.4( 25 Votes )

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

k

Answer :

X=110


Given AB||CD, DCE = 130° and AEC = 20°


Draw a line EF||AB||CD



CD||EF


Therefore, DCE + CEF = 180°


130° + 1 = 180°


1 = 180° - 130°


1 = 50°


AB||EF


Therefore, BAE + AEF = 180°


x + 1 + 20° = 180°


x + 50° + 20° = 180°


x = 180° - 70°


x = 110°

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