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Question

In the given figure, side BA of ABC has been produced to D such that CD=CA and side CB has been produced to E. If BAC=1060 and ABE=1280, find BCD
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A
540
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B
520
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C
740
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D
600
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Solution

The correct option is A 540
In ADC
CAB+CAD=180 (Linear pair)
106+CAD=180
CAD=74
Given, AC=CD
CAD=CDA=74 (Isosceles triangle property)
Also, ABC+ABE=180 (Linear pair)
ABC+128=180
ABC=52
Now, in BDC
DBC+DCB+BDC=180
52+74+DCB=180
DCB=54

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