Предмет: Геометрия, автор: dashawhat

Четырехугольник ABCD вписан в окружность. Угол ABC равен 80 градусов , угол CAD равен 54,градуса, найдите угол ABD в градусах

Ответы

Автор ответа: romik5073

Угол АВD = угол АВС - угол СВD
угол СВD = угол САD (Вписанные углы,оба опираются на одну дугу СD).
То есть угол СВD = 54 гр,следовательно
угол АВD = 80гр - 54гр = 26 гр

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