A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at point on the minor arc and also at a point on the major arc.

When a chord equals the radius, it forms an equilateral triangle with the two radii from the center, so the central angle is 60 degrees. The angle subtended by this chord at a point on the major arc is half of the central angle, making it 30 degrees. The angle subtended at any point on the minor arc is the supplement of the major arc angle, making it 150 degrees.

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