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Prove that a non-simple quadrilateral

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Prove that a non-simple quadrilateral can be inscribed in a circle <=> opposite angles are equal (both directions).

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Solution Summary

It is proven that a non-simple quadrilateral can be inscribed in a circle <=> opposite angles are equal (both directions).

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Let AC be the diameter of the circle. Draw the line AB at 45 degrees to the diameter to touch the circle at point B on the top ...

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