Предмет: Геометрия, автор: karebin13kostya

Диагонали прямоугольника ABCD пересекаются в точке O.Найдите угол между диагоналями, если угол ABO= 30 градусов

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Автор ответа: nastiakatt1

Если это прямоугольник, значит все его стороны по 90"( градусов) . ABO = 30", CBO = 90" - 30" = 60" - СВО. СВО = ОDA , как внутр. разносторонные. 90" + 90" = 180" : 2 = 90" - ВСD = BAD . Россмотрим треугольник ОAD = он (Рівнобедрений , не знаю как на русском) . Поэтому, ОАD = 60". Другой угол = 30"

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