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In the figure given below (not drawn to scale), $\text{A, B}$ and $\text{C}$ are three points on a circle with centre $\text{O}.$ The chord $\text{BA}$ is extended to a point $\text{T}$ such that $\text{CT}$ becomes a tangent to the circle at point $\text{C}.$ If $\measuredangle \text{ATC} = 30^{\circ}$ and $\measuredangle \text{ACT} = 50^{\circ}$, then the angle $\measuredangle \text{BOA}$ is

  1. $100^{\circ}$
  2. $150^{\circ}$
  3. $80^{\circ}$
  4. Cannot be determined
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