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Question

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


 


A
10 units
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B
15 units
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C
20 units
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D
25 units
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Solution

The correct option is B 15 units
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

Mathematics

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