BdMO National Higher Secondary 2014/5

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
BdMO National Higher Secondary 2014/5

Unread post by samiul_samin » Thu Feb 22, 2018 12:03 am

Let $\triangle ABC $ be an acute angled triangle with $\angle C=60^{\circ}$.Perpendicular $AA_1$ & $BB_1$ are drawn from point $A$ and $B$ to the sides $BC$ & $AC$ respectively.Let $M$ be the midpoint of $AB$.What is the value of $\dfrac {\angle A_1MB_1}{\angle A_1CB_1}$?

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

Re: BdMO National Higher Secondary 2014/5

Unread post by samiul_samin » Sat Feb 24, 2018 12:17 am

Hint
Draw a figure
Answer
$1$
Figure
Screenshot_2018-02-23-20-40-50-1.png

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