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Giving reasons or otherwise, Find the value of the following angles: a) (i) Angle CBA

Mathematics

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Here are the solutions to the problem:

a) Giving reasons or otherwise, Find the value of the following angles

a) (i) Angle CBA

  1. The problem states that A, O, X, and C are points on a straight line, and O is the center of the circle.

    This means AC is a diameter.

  2. The angle subtended by a diameter at any point on the circumference is 90∘90^\circ.

  3. ∠CBA\angle CBA is subtended by the diameter AC at point B on the circumference.

    ∠CBA=90∘\angle CBA = 90^\circ

    Reason: Angle in a semicircle.
    The value of Angle CBA is 90∘\boxed{90^\circ}

    *a

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