Question 2
Let $ABC$ be a triangle with $\angle A \lt \min(\angle B, \angle C)$. The points $B$ and $C$ divide the circumcircle of the triangle into two arcs. Let $U$ be an interior point of the arc between $B$ and $C$ which does not contain $A$. The perpendicular bisectors of $AB$ and $AC$ meet the line $AU$ at $V$ and $W$, respectively. The lines $BV$ and $CW$ meet at $T$.
Show that $AU = TB + TC$.
Show that $AU = TB + TC$.