Discussion Question 3 (Solution)

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Download the GeoGebra file: http://www.geogebratube.org/material/download/format/file/id/42707


\[{\rm{reflex }}\;\angle AOC = 2\angle ABC{\rm{ \;(}}\angle\; {\rm{ at\; centre = 2}}\angle\; {\rm{ at\; circumference)}}\]
\[\angle AOC + {\rm{reflex }}\;\angle AOC = 360^\circ {\rm{ \;(}}\angle {\rm{s\; at\; a\; pt)}}\]
\[\therefore \angle AOC + 2\angle ABC = 360^\circ \]