Опубликовано 1 год назад по предмету Геометрия от Milka00001

Помогите пожалуйста , неделю мучаюсь,если можно с объяснением. Заранее спасибо

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    Сначала минимальные объяснения: cумма углов треугольника равна 180 и одинаковые чёрточки в уголках означают что они равны. Смежные углы в сумме дают 180 градусов.На рисунке видно что угол KPA равен углу MPK, а также что угол PMN равен углу NMA.Несложно найти эти углы, MPK=30, а NMA=25.Теперь можно найти угол PAM, 180-(30*2+25*2)=70.Далее найдём угол PKA, он равен 180-(70+30)=80.Зная угол PKA применим свойство смежных углов и найдём угол MKP, 180-80=100.Угол MKP дал нам возможность найти угол KOM, 180-(25+100)=55Угол POM равен 180-55=125, по свойству смежных углов.Угол PON можно найти 2 способами, 1й по свойству смежных углов 180-125=55, и по свойству равенства вертикальных углов, MOK=PON=55.Осталось найти угол ONA, для начала найдём угол PNO 180-(30+55)=95, и по свойству смежных углов находим что ONA равен 180-95=85.Ответ: MPK=30, NMA=25, PAM=70, PKA=80, KOM=55, POM=125, PON=55, в ответе все что со знаком вопроса, если нужен угол NOK, то он равен углу POM, так как они вертикальные, то есть 125
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Английский язык - 3 месяца назад

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