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Question

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


A
12
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B
15
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C
18
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D
20
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Solution

The correct option is B 15
In Δ ABC and Δ EDC
AC = CE .... (Given)
BAC=DEC.... (Alternate angles)
ACB=ECD .... (Vertically opposite angles)
ΔABCΔEDC .... (ASA congruence criteria)
AB=DE ..... (Sides of congruent triangles)
x+10=2x5
x=15units

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