Q. 54.6( 26 Votes )

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

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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