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МатематикаВопрос:
8) Find the value of x. Angle ABC is 105 degrees. Angle ADC is x degrees.
Ответ:
Краткое пояснение: Сумма противоположных углов вписанного четырехугольника равна 180°.
Пошаговое решение:
- Шаг 1: ABCD - вписанный четырехугольник.
- Шаг 2: Угол ABC и угол ADC являются противоположными углами вписанного четырехугольника.
- Шаг 3: Сумма противоположных углов вписанного четырехугольника равна 180°.
- Шаг 4: Следовательно, угол ABC + угол ADC = 180°.
- Шаг 5: 105° + x = 180°.
- Шаг 6: x = 180° - 105° = 75°.
Ответ: 75°
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