Question

In triangle ABC , X and Y are the points on AB and AC respectively. If angle YXC is equal to angle BCX, prove that area of triangleBXC = area of triangle byc

Answer 1

angle yxc = angle bcx
=> xy parrallel bc [ alt . angles ]
triangle BXC and triangle byclie on same base bc and between same parrallel xy parrallel bc 
=> area of triangle BXC = area of triangle byc