IOM 2021, Блиц — Задача 66

The Blitz-contest of IOM-2021

Условие

Let $ABC$ be a triangle with $\angle A \neq \angle B$ and $\angle C = 45^{\circ}$. On the internal angle bisector of $\angle BCA$ consider the points $D$ and $E$ such that $\angle CAD = \angle CBE = 45^{\circ}$, and on the perpendicular bisector of $AB$, on the same side as $C$ with respect to $AB$, consider the point $F$ such that $\angle AFB = 135^{\circ}$. Find the degree measure of angles of the triangle $DEF$.

If the answer is a fraction, it can be entered either as a decimal fraction or as a ratio “$r/s$”. Rounding is not allowed.

$\angle FDE =$ °, $\angle DEF =$ °, $\angle EFD =$ °.

Отговори

Решение

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Оригинал в Архива: iom-2021-blitz-tasks-eng.pdf · официални решения: iom-2021-blitz-answers-eng.pdf