Предмет: Математика, автор: conyasonya

в четырёхугольнике углы пропорциональны числам 10,9, 5 и 6.Найти наименьший угол

Ответы

Автор ответа: flsh

1

Обозначим углы как: 10х, 9х, 5х и 6х.

Сумма углов четырёхугольника равна 360°.

10х + 9х + 5х + 6х = 360

30х = 360

х = 12

Меньший угол соответствует 5х.

Он равен: 5 · 12 = 60°.

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