XY and BD are parallel lines. X is a point on AB and C is a point on BD.
XB=XC
Work out Angle BXC
Give a reason for each angle you work out

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.