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Question

In fig. ABP=ACQ, BAC=68. Measure of ABC is:

A
124
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B
56
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C
60
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D
52
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Solution

The correct option is B 56
Given: ABP=ACQ
By linear pair property,
ABP+ABC=180 (i)
ACQ+ACB=180 (ii)

From (i) and (ii),
ABP+ABC=ACQ+ACB
[ ABP=ACQ ]
So, ABC=ACB

In ΔABC,
ABC+ACB+BAC=180
2ABC=18068
[ABC=ACB]
2ABC=112
ABC=56

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