диагонали прямоугольника ABCD пересекаются в точке О. Найдите угол между диагоналями, если угол АВО=30 градусам

диагонали прямоугольника ABCD пересекаются в точке О. Найдите угол между диагоналями, если угол АВО=30 градусам
- Предмет:
  Математика
- Автор:
  vaughan
- 6 лет назад

Ответы 1

Треугольник ABO-равнобедренный, AO=BO (диагонали прямоугольника равны, при пересечении делятся пополам). Тогда углы при основании будут равны, то есть ABO=BAO=30 градусам. Угол AOB=180-(30+30)=120 градусам. Тогда второй угол между диагоналями равен 180-120=60 градусам (углы AOB, BOC смежные)Ответ: 120 и 60 градусов
- Автор:
  bryannapacheco
- 6 лет назад
- 0
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диагонали прямоугольника ABCD пересекаются в точке О. Найдите угол между диагоналями, если угол АВО=30 градусам

Ответы 1

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