Answers

2016-02-18T10:42:33+05:30
Sum of the opposite angle of cyclic quadrilateral = 180 degree
 ie <A + <C = 180
     <B + <D = 180
therefore, <C = 180 - 75 = 105
     &         <B = 180 - 77 = 103
 the sum of the triangle BPC = 180
 <B + <C + <P = 180
103/2  + 105/2 + <P = 180   ( because it cut at bisector)
51.5 + 52.5 + <P = 180
<P = 180 - 104
<P = 76
ie angle BPC = 76 
0
It doesn't say anything about a bisector, you're just assuming so.
yes if you assume it to be bisector
I'm not sure that's the wisest thing to do but whatever