Problem 112 of 7
Prove opposite angles of cyclic quadrilateral ABCD are supplementary.
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use intercepted arcs and inscribed angles.
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Proof must use intercepted arcs and inscribed angle theorem.
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Solution
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1. Identify the arcs intercepted by opposite angles.
2. Use the inscribed angle theorem for each angle.
3. Show the angle sum is half of 360 degrees.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Proof based only on a diagram appearance.