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A chord separates a circle into two segments. If the angle formed by the chord at the center is 120°, what is the angle formed at a point located in the major segment?

1. 60°
2. 120°
3. 240°
4. 180°

Correct answer: 60°

Solution

The angle subtended by the same chord at the circumference is half the angle subtended at the center. Since the central angle is 120°, the angle at the circumference in the major segment is 60°. This is because a point in the major segment subtends the minor arc.

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