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Question


In the given figure, AC = CE and AB ED. The value of x is ___ units.

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Solution

In ΔABC and ΔEDC,AC=CE (given)BAC=DEC (since AB||DE and AE is a transversal, so they are alternate angles)ACB=ECD (vertically opposite angles)ΔABCΔEDC (A.S.A. congruence criteria)AB=DE (sides of congruent triangles)x+10=2x5x=15 units

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