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
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Here's the solution to the question:
8.1) Given . The three other angles equal to are: • (Angle between tangent and chord is equal to the angle in the alternate segment). • (Angles subtended by the same arc ). • (Alternate angles, with transversal ).
8.2) The angle is the angle formed by the tangent and the chord . From the diagram, this angle is
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Here's the solution to the question: 8.1) Given B_2 = x. The three other angles equal to x are: • E_1 = x (Angle between tangent CA and chord BE is equal to the angle in the alternate segment).
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.