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Question

In the given figure, AB || CD, ∠BAE = 100° and ∠AEC = 30°. Find ∠DCE.
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Solution

Construction:Draw GHFC as shown in the book by dotted line GH,which meets AB at A and CD at H.Now,GAE = AEC = 30° alternate angles
And GAB = BAE - GAE = 100° - 30° = 70°Now, ABCD and GHis the transversal.DHA= GAB = 70° corresponding anglesAgain GHFC and DC is the transversal. DCE = DHA=70° corresponding angles

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