Circle Tangent Challenge

Geometry Level 2

In the figure given above \(\overline{TP}\) and \(\overline{TQ}\) are tangent to the circle with center \(O\) at \(B\) and \(C,\) respectively.

If \(\angle PBA=60^\circ\)and \(\angle ACQ=70^\circ\), what is \(\angle BTC\) in degrees?

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