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Question

In the figure AB = AC, BC = CD and DE || BC. Find the measure of x.
514799_ebf20ba7ab2f4a93af345c39338a9621.png

A
54o
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B
61o
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C
58o
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D
72o
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Solution

The correct option is B 58o
Given : AB=AC
ABC=ACB
ABC+ACB=180oBAC=122o
ABC=ACB=1222=61o
In ΔBCD,
BC=CD
DBC=CDB=61o ..... [Angles opposite to equal sides are equal]
DEBC
EDB+DBC=180o
x+61+61=180
x=180122=58o


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