Answer:
46°
Step-by-step explanation:
The alternate segment theorem states that for a circle, the angle between a chord and a tangent through the endpoint of one of the chord is equal to the angle in the alternate segment.
Therefore from the diagram attached, chord TU and the tangent UV form an angle (arc TBU). The alternate segment to arc TBU is ∠ TUV .
Therefore arc TBU = ∠ TUV. But arc TBU = 46°. Therefore:
∠ TUV = 46°
