Предмет: Геометрия, автор: annyhoranxx

В угол C величиной 19° вписана окружность с центром O, которая касается сторон угла в точках A и B . найдите угол AOB

Ответы

Автор ответа: Malvina247

А и ОВ -радиусы и перпендикулярны касательным,значит
угол ОАС и угол ОВС равны 90°
пусть х - угол АОВ
составим уравнение:
90+90+19+х=360
х=360-199
х=161° (угол АОВ)

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