In the diagram below, $O$ is the centre of the circle and points $A$, $B$, $C$ and $D$ lie

Question

In the diagram below, $O$ is the centre of the circle and points $A$, $B$, $C$ and $D$ lie on the circumference of the circle. The tangent at $A$ meets $CD$ produced at $E$. The line $AC$ passes through $O$ and lines $AC$ intersects $BD$ at point $F$. It is also given that $\angle ACD=46{}^\circ$ and $\angle CAB=25{}^\circ$. Stating your reasons clearly, find $\angle ADO$. $\angle OFD$. $\angle AEC$.

Accepted Answer

(a) $44^\circ$ (b) $71^\circ$ (c) $44^\circ$

The Geometry of Inscribed Triangles and Cyclic Polygons

The Geometry of Inscribed Triangles and Cyclic Polygons

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