1.

18. In the figure, biseciors of 4B and 4D of quadrilateral ABCD meet CD and Ab produced at aQ respectively. Prove ilat, .2243P D

Answer»

InΔPBC we have,angle p +pbc+c=180p+1/2 B+C=180⇒eq 1

InΔqad we have

Q+A+ADQ=180Q+A+1/2 D=180⇒eq 2

Adding 1 and 2P+Q+A+C+1/2 B+1/2 A=360

But,A+B+C+D=360P+Q+A+C+1/2(B +D)=A+B+C+D

P+Q=1/2 (B+D)P+Q=1/2(ABC+ADC)

thanks you



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