Касательные в точках A и B к окружности с центром O пересекаются под углом 10°. Найдите угол ABO. Ответ дайте в градусах.

Касательные в точках A и B к окружности с центром O пересекаются под углом 10°. Найдите угол ABO. Ответ дайте в градусах.
- Предмет:
  Математика
- Автор:
  alishaleyq
- 5 лет назад

Ответы 1

пусть касательные пересекаются в точке Стак как AO=ОВ радиусы то к касательным имеет прямые углы 90°Рассмотрим четырехугольник ОАСВ ∠С=10° по условию∠А=∠В=90°∠О=360-90-90-10=170°Рассмотрим ΔАВОАО=ОВ- радиус ΔАВО-равнобедренный∠АВО=∠ОАВ=(180-∠О):2=(180-170):2=5°Ответ: 5°
- Автор:
  owen69
- 5 лет назад
- 0
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Ка­са­тель­ные в точ­ках A и B к окруж­но­сти с цен­тром O пе­ре­се­ка­ют­ся под углом 10°. Най­ди­те угол ABO. Ответ дайте в гра­ду­сах.

Ответы 1

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Касательные в точках A и B к окружности с центром O пересекаются под углом 10°. Найдите угол ABO. Ответ дайте в градусах.