BDMO 2017/09

For students of class 9-10 (age 14-16)
soyeb pervez jim
Posts:21
Joined:Sat Jan 28, 2017 11:06 pm
BDMO 2017/09

Unread post by soyeb pervez jim » Wed May 10, 2017 1:44 pm

In a cyclic quadrilateral $ABCD$ with circumcenter $O$, the lines $BC$ and $AD$ intersect at $E$. The lines $AB$ and $CD$ intersect at $F$. A point $P$ satisfying $\angle EPD = \angle FPD = \angle BAD$ is chosen inside of $ABCD$. The line $FO$ intersects the lines $AD, EP, BC$ at $X,Q,Y$ respectively. Also $\angle DQX = \angle CQY$. What is the angle $\angle AEB?$

dshasan
Posts:66
Joined:Fri Aug 14, 2015 6:32 pm
Location:Dhaka,Bangladesh

Re: BDMO 2017/09

Unread post by dshasan » Thu May 11, 2017 5:34 pm

double post. the topic is discussed here viewtopic.php?f=13&t=3908
The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.

- Charles Caleb Colton

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