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in this quadrilateral angles(a+b+c+d=360°) so,a+b=360°-(c+d)....1
in triangle abp
angle bap=a/2 because it is the bisector of angle a
angle abp=b/2 because it is a bisector of angle b
so, a/2+b/2+angle apb=180°  (Δs property).....2
now putting he value from 1 to 2
360°-(c+d)/2+angle apb=180°
360°/2+(-c-d/2)+angle apb=180°
180°+(-c-d/2)+angle apb=180°
angle apb=c+d/2
now putting the value of c and d
0 0 0
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