Determine the angles

For discussing Olympiad level Geometry Problems
Posts: 289
Joined: Fri Oct 18, 2013 11:56 pm
Location: Rangpur,Bangladesh

Determine the angles

Unread post by tanmoy » Fri Feb 27, 2015 11:01 pm

In triangle $ABC$ the points $D,U,L$ on $BC$ are respectively the foot of the perpendicular from $A$ onto $BC$,the point where the internal bisector of angle $A$ meets $BC$,and the midpoint of $BC$.If the angles $\angle BAD,\angle DAU,\angle UAL,\angle LAC$ are all equal,determine the angles of the triangle $ABC$.
"Questions we can't answer are far better than answers we can't question"

Posts: 110
Joined: Wed Mar 20, 2013 10:50 pm

Re: Determine the angles

Unread post by Tahmid » Sat Feb 28, 2015 1:21 am

$\angle A=90$
$\angle B=22.5$
$\angle C=67.5$

Post Reply