This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
90^\circ $$
Here are the solutions to the problem:
a) Giving reasons or otherwise, Find the value of the following angles
a) (i) Angle CBA Step 1: The problem states that A, O, X, and C are points on a straight line. Since O is the center of the circle and A and C are on the circumference, the line segment AC must be a diameter. Step 2: The angle subtended by a diameter at any point on the circumference is . Step 3: is subtended by the diameter AC at point B on the circumference. Reason: Angle in a semicircle. The value of Angle CBA is $\boxed{9
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a) Giving reasons or otherwise, Find the value of the following angles a) (i) Angle CBA Step 1: The problem states that A, O, X, and C are points on a straight line.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.