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Let the chord of the circle forms the base and the radii forms the equal sides of an isosceles triangle. If one of the base angle is 53\(^{\circ}\), then find the angle subtended by the chord at a point on the major and the minor arc.
 
Answer:
 
The angle subtended by the chord at a point on the major arc is \(^{\circ}\) and the minor arc is \(^{\circ}\).