BdMO National 2013: Higher Secondary 8

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
BdMO
Posts:134
Joined:Tue Jan 18, 2011 1:31 pm
BdMO National 2013: Higher Secondary 8

Unread post by BdMO » Fri Jan 10, 2014 1:44 am

$ABC$ is an acute angled triangle. Perpendiculars drawn from its vertices on the opposite sides are $AD$, $BE$ and $CF$. The line parallel to $DF$ through $E$ meets $BC$ at $Y$ and $BA$ at $X$. $DF$ and $CA$ meet at $Z$. Circumcircle of $XYZ$ meets $AC$ at $S$. Given, $\angle B=33^{\circ}$ find the angle $\angle FSD$ with proof.

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National 2013: Higher Secondary 8

Unread post by samiul_samin » Tue Feb 26, 2019 11:31 am

Solved here.

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