Answer:
[tex]141^{\circ}[/tex]
Step-by-step explanation:
The quadrilateral in the image is a cyclic quadrilateral, because it is circumscribed by a circle. In all cyclic quadrilaterals, each pair of opposite sides are supplementary (add up to 180 degrees). Therefore, we have the following equation:
[tex]m\angle T+39=180,\\m\angle T=\boxed{141^{\circ}}[/tex]
