Geometrical Problem

[Artyom]

Quadrilateral ABCD is inscribed into a circle. AB is a diameter of this circle. BC crosses AD in point E. E is outside the circle. EH is a perpendicular from E to AB. EH crosses CD in point F. G is a middle of CD. Prove that angles ABG and AFD are equal.

[Intrigued]

As I understand it, the idea of the Homework Help section of the forum is to assist you in completing your homework, not to do it for you. How far have you got with the problem so far?

[studiot]

Why have you not completed your diagram with all the information shown?

Hint:

Show those distances that are given equal and those angles that are given right angles.
Where is point H?
Why does EH appear to meet at the intersection of AC and BD?
What do you know about the angles ACB and ADB?

Edited April 27, 2019 by studiot

[Artyom]

 

12 minutes ago, Intrigued said:

As I understand it, the idea of the Homework Help section of the forum is to assist you in completing your homework, not to do it for you. How far have you got with the problem so far?

To tell the truth, I have another problem as a homework, but un case I proof this problem, I will have a solution for my homework problem.

11 minutes ago, studiot said:

Why have you not completed your diagram with all the information shown?

Hint:

Show those distances that are given equal and those angles that are given right angles.
Where is point H?
Why does EH appear to meet at the intersection of AC and BD?
What do you know about the angles ACB and ADB?

All the facts you told about are obvious and they do not help to solve this problem.

Oh, I found the solution. It was very obvious, I don't know why I haven't seen it before.

Edited April 27, 2019 by Artyom