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МатематикаВопрос:
6) Find the value of x. Angle BCD is 110 degrees. Angle BAD is x degrees.
Ответ:
Краткое пояснение: Вписанные углы, опирающиеся на одну и ту же дугу, равны. Сумма противоположных углов вписанного четырехугольника равна 180°.
Пошаговое решение:
- Шаг 1: ABCD - вписанный четырехугольник.
- Шаг 2: Угол BCD и угол BAD являются противоположными углами вписанного четырехугольника.
- Шаг 3: Сумма противоположных углов вписанного четырехугольника равна 180°.
- Шаг 4: Следовательно, угол BAD + угол BCD = 180°.
- Шаг 5: x + 110° = 180°.
- Шаг 6: x = 180° - 110° = 70°.
Ответ: 70°
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