Angles of Orthic Triangle of Obtuse Triangle

Theorem
Let $\triangle ABC$ be an obtuse triangle with sides $a$, $b$ and $c$ opposite vertices $A$, $B$ and $C$ respectively.

Let $\angle A$ be the obtuse angle of $\triangle ABC$.

Let $\triangle DEF$ be the orthic triangle of $\triangle ABC$.

Then the angles of $\triangle DEF$ are $2 A - 180 \degrees$, $2 B$ and $2 C$.