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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\angle ACG$ (alternate interior angles).
a) Prove that is isosceles.
Step 1: Identify parallel lines and transversal angles. Given that AD || CG. Considering AC as a transversal, we have (alternate interior angles).
Step 2: Use the given angle equality. We are given that , which means .
Step 3: Combine the angle equalities. From Step 1 and Step 2, we have .
Step 4: Use angles subtended by the same arc. Angles subtended by the same arc at the circumference are equal. and are both subtended by
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a) Prove that CAD is isosceles. Step 1: Identify parallel lines and transversal angles.
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.