Let
be a triangle with
. Let
bisect
and let
bisect
, with
on
and
on
. If
, what are the angles of the triangle?
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Let $ABC$ be a triangle with $\angle BAC = 60^{\circ}$. Let $AP$ bisect $\angle BAC$ and let $BQ$ bisect $\angle ABC$, with $P$ on $BC$ and $Q$ on $AC$. If $AB + BP = AQ + QB$, what are the angles of the triangle?
Školjka