Предмет: Геометрия, автор: nastazahandrevic520

Будь ласка, допоможіть

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Ответы

Автор ответа: kovalova55555
1

как бы я обьяснила

нам показано кут MNI и кут CNV одинаковы (там полосочками показано). В условии сказано что кут ANI = 35градусам, значит кут MNV равен двум кутам ANI -> 25*2=50градусов

далее найдем кут NVM. Как видим, на рисунке кут NVI и кут IVC позначили одинаковыми черточками (по 2 черточки) тогда чтобы найти кут NVM нужно кут IVC (так как он дан в задаче) умножть на 2.
кут NVM = 2*35=70градусов

мы знаем что сумма всех углов треугольника (любого) равна 180 градусов. Поэтому чтобы найти кут NMV нужно сложить кути NVM и кут ANI.

180-50-70=60 градусов.


Ответ: кут ANI = 50 градусов, кут NVM = 70 градусов, кут NMV = 60 градусов

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