Answer :

We know that the sum of the angles in a quadrilateral is 3600.


i.e, A + B + C + D = 3600. ...... (1)


We also know that the sum of angles in a triangle is 1800.


According to the problem, it is given that C + D = 1000.


Substituting the condition in the eq(1) we get,


A + B + 1000 = 3600


A + B = 3600 - 1000


A + B = 2600.



. ...... (2)


According to the problem, it is given that the ΔABP is formed by the intersection of angular bisectors of A and B.


From ΔABP, We can write that,



1300 + P = 1800 (From eq(2))


P = 1800 - 1300


P = 500.


The value of the P is 500.


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