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Question


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


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 (ASA congruence criteria)AB=DE (Sides of congruent triangles)x+10=2x5x=15 units

Mathematics

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