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    Daily ChallengeHardGeometry

    In a circle, an inscribed angle subtends an arc of 120^\circ. What is the inscribed angle?

    Num círculo, um ângulo inscrito subtende um arco de 120^\circ. Qual é o ângulo inscrito?

    A circle with points B and C on it cutting off a thickened arc at the bottom, labelled 120 degrees. A third point A on the far side of the circle is joined to both, and the angle at A is marked with a question mark.?120°BCA

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    Solution

    Inscribed angle = \tfrac{1}{2} \times \text{arc} = \tfrac{120}{2} = 60^\circ