What is the angle relation involving the segment of a circle formed by a diameter?

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When a segment of a circle is formed by a diameter, it creates a specific angle at the circumference of the circle. According to the inscribed angle theorem, any angle that is subtended by a diameter will always be a right angle, which measures 90 degrees. This is because the triangle formed when the endpoints of the diameter are connected with another point on the circumference will be a right triangle, with the right angle at the point on the circumference.

Understanding this relationship is fundamental in circle geometry, as it underlines the special properties of diameters and their connection to angles inscribed in the circle. Therefore, when considering the angle relationship involving a segment formed by a diameter, it will invariably be a right angle.

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