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#геом_разминка

Задача. На сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 треугольника 𝐴𝐵𝐶 выбраны точки 𝐶', 𝐴' и 𝐵' соответственно так, что 𝐴'𝐵'𝐶'𝐵 — параллелограмм. На отрезке 𝐴'𝐶' выбрана точка 𝐷 так, что углы 𝐴𝐵'𝐷 и 𝐵'𝐷𝐶' равны. Докажите, что прямая 𝐷𝐵' делит угол 𝐴𝐷𝐶 пополам.

Желаем вам, чтобы с каждым днём света в жизни становилось всё больше ☀️



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#геом_разминка

Задача. На сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 треугольника 𝐴𝐵𝐶 выбраны точки 𝐶', 𝐴' и 𝐵' соответственно так, что 𝐴'𝐵'𝐶'𝐵 — параллелограмм. На отрезке 𝐴'𝐶' выбрана точка 𝐷 так, что углы 𝐴𝐵'𝐷 и 𝐵'𝐷𝐶' равны. Докажите, что прямая 𝐷𝐵' делит угол 𝐴𝐷𝐶 пополам.

Желаем вам, чтобы с каждым днём света в жизни становилось всё больше ☀️

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