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When two chords intersect inside a circle can they form an acute angle which intercepts an arc with a measurement greater than 180?

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Answer:no

Step-by-step explanation:

Theorem:

The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points . The inscribed angle can be defined by any point along the outer arc AB and the two points A and B. Therefore the angle subtended by an arc of a circle at its center is twice of the angle it subtends anywhere on the circle's circumference. So an twice an acute angle can't give an angle greater than 180

User Marco Masser
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