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#геом_разминка

Задача. Дан прямоугольник 𝐴𝐵𝐶𝐷, точки 𝑀 – середина стороны 𝐴𝐷, 𝑁 – середина стороны 𝐵𝐶. Возьмем точку 𝑃 на продолжении 𝐶𝐷 за точку 𝐷. Обозначим точку пересечения прямых 𝑃𝑀 и 𝐴𝐶 через 𝑄. Докажите, что ∠𝑄𝑁𝑀 = ∠𝑀𝑁𝑃.



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#геом_разминка

Задача. Дан прямоугольник 𝐴𝐵𝐶𝐷, точки 𝑀 – середина стороны 𝐴𝐷, 𝑁 – середина стороны 𝐵𝐶. Возьмем точку 𝑃 на продолжении 𝐶𝐷 за точку 𝐷. Обозначим точку пересечения прямых 𝑃𝑀 и 𝐴𝐶 через 𝑄. Докажите, что ∠𝑄𝑁𝑀 = ∠𝑀𝑁𝑃.

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