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Question

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


A
15
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B
20
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C
25
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D
30
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Solution

The correct option is A 15
In ΔABC and ΔEDC,
AC = CE (given)
Also, ABDE and AE is a transversal.
BAC=DEC [alternate interior angles]
ACB=ECD [vertically opposite angles]
ΔABCΔEDC (ASA congruence criterion)
AB=DE (CPCT)
x+10=2x5
x=15 units

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