In the given figure below, A, B and C are three points on a circle with centre O. The tangent at C meets BA produced to T. If \[\angle \mathbf{ATC}=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \mathbf{ACT}=\mathbf{3}{{\mathbf{8}}^{{}^\circ }}\], then what is the value of \[\angle \mathbf{AOB}\]?

In the given figure below, A, B and C are three points on a circle wit

1.	In the given figure below, A, B and C are three points on a circle with centre O. The tangent at C meets BA produced to T. If \[\angle \mathbf{ATC}=\mathbf{4}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \mathbf{ACT}=\mathbf{3}{{\mathbf{8}}^{{}^\circ }}\], then what is the value of \[\angle \mathbf{AOB}\]?
A.	\[{{78}^{{}^\circ }}\]
B.	\[{{96}^{{}^\circ }}\]
C.	\[{{102}^{{}^\circ }}\]
D.	\[{{128}^{{}^\circ }}\]
Answer» E.

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