Let
be a triangle with
. The angle bisectors of
and
meet the sides
and
at
and
, respectively. Let
be the incentre of triangle
. Suppose that
. Find all possible values of
.
Jan Vonk, Belgium, Peter Vandendriessche, Belgium and Hojoo Lee, Korea
%V0
Let $ABC$ be a triangle with $AB = AC$ . The angle bisectors of $\angle C AB$ and $\angle AB C$ meet the sides $B C$ and $C A$ at $D$ and $E$ , respectively. Let $K$ be the incentre of triangle $ADC$. Suppose that $\angle B E K = 45^\circ$ . Find all possible values of $\angle C AB$ .
Jan Vonk, Belgium, Peter Vandendriessche, Belgium and Hojoo Lee, Korea
Školjka