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Angle Properties of Inscribed Quadrilaterals

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Explanations 1

These facts are always true about a cyclic quadrilateral: 1)1)1) Opposite angles always add up to 180 degrees. (Briefly, this follows from the inscribed-angle-intercepted-arc re…
By Jett Wang, Po-Shen Loh, Victor Wang

Problems 1

Let ABCABCABC be an acute triangle with circumcenter OOO. The ray AO→\overrightarrow{AO}AO intersects the circumcircle of △BOC\triangle BOC△BOC for the second time at a point XX…