Question

In the given figure, ∠ABC =65°, ∠BCE = 30°, ∠DCE = 35°and ∠CEF =145°.Prove that AB II EF.
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Answer 1

Answer:

∠ABC=65°

∠BCD= 30°+30°=65°

because alternative angles are equal

therefore,AB || CD ---(i)

∠FEC+∠DCE= 108°

Therefore CD||EF ---(ii)

Using (i) and (ii)

AB||EF

hence proved