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Question

In the given figure, AP and BP are angle bisectors of A and B respectively which meet at point P of the parallelogram ABCD. Then 2APB=.
725951_8b01b120001140399ab35530df8a56af.png

A
A+B
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B
A+C
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C
B+D
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D
2C+3B
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Solution

The correct option is C A+B
If AP and BP are angle bisector, then
1=2=A/23=4=B/2
And Consecutive angles are supplementary
1+2=180(3+4)
A=180B
From the figure, APB=180(1+3)=180(180(2+4))=2+4=A/2+B/22APB=A+B

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