Предмет: Геометрия, автор: kutsenkovalery10

ДОПОМОЖІТЬ БУДЬ ЛАСКА СРОЧНО

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Ответы

Автор ответа: sstavridka
0

Ответ:

угол С = 180° - 100° = 80°

угол А + угол В = 180° - 80° = 100°

Автор ответа: kataga
0

По теореме о внешнем угле треугольника:
     
Внешний угол треугольника ( ∠ВСD )
равен сумме двух внутренних углов, не смежных с ним (∠А + ∠В)


∠ВСD = ∠А + ∠В = 100°

Ответ: ∠А + ∠В = 100°

ЕСЛИ НЕ ПРОХОДИЛИ ЭТУ ТЕОРЕМУ

тогда решай вот так:

1     ∠ВСD и ∠BCA  смежные углы

     ∠ВСD + ∠BCA  = 180°

     ∠BCA  = 180° - ∠ВСD = 180° - 100° = 80°

2    Сумма углов в треугольнике равна 180°

     ∠С + ∠А + ∠В = 180°

      ∠А + ∠В = 180° - ∠С = 180° - 80° = 100°

    Ответ:  ∠А + ∠В = 100°

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