AM Proofs in Plane Geometry Practice Question 2
In the diagram, $AT$ and $DT$ are tangents to the circle at $A$ and $D$ respectively. $O$ is the centre of the circle. Given that angle $BDC={{26}^{\circ }}$, angle $CBD={{83}^{\circ }}$ and angle $ABD={{46}^{\circ }}$, find, stating your reasons clearly,
(a)
angle $AOD$,
(b)
angle $BAD$,
(c)
angle $ATD$.
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