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Question

In the given figure, AC = CE and AB || ED. The value of x is . (2 marks)


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Solution

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

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