IOM 2019, Блиц — Задача 25

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

Point $K$ lies on the hypotenuse $AB$ of a right triangle $ABC$ so that $CK = BC$. The bisector of angle $BAC$ intersects $BC$ at point $L$. Given that $CK$ cuts segment $AL$ in half, find angle $ABC$. Give the answer in degrees.

Решение

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Оригинал в Архива: blitz-en-all-task-final.pdf