Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

The figure contains four quadrilaterals, A, B, C and D. In quadrilateral A, the interior angles are 82^{\circ}, 70^{\circ}, 110^{\circ} and 98^{\circ}. In quadrilateral B, the interior angles are 113^{\circ}, 99^{\circ}, 67^{\circ} and 81^{\circ}. In quadrilateral C, the interior angles are 100^{\circ}, 57^{\circ}, 123^{\circ} and 80^{\circ}. In quadrilateral D, the interior angles are 96^{\circ}, 83^{\circ}, 97^{\circ} and 84^{\circ}. None of the diagrams is drawn to scale.
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Which one of these could be a cyclic quadrilateral?

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