Geometry homework. will mark brainliest answer !

Step-by-step explanation:

APB is a straight line.

Using liner pair(sum of angles on straight line is 180 degree)

But

In triangle FPD, FP=DP (radius of same circle.

So, triangle FPD would be isosceles triangle. FD is base of triangle.

PE is perpendicular to FD.

As we know angle bisector of isosceles triangle make perpendicular to base.

So, line PE bisect angle FPD.

As we found above

So,