Answer:
arc TBU = 268°
Explanation:
the measure of the tangent- chord angle TUV is half the measure of its intercepted arc UT , then
UT = 2 × 46° = 92°
the sum of the arcs in a circle = 360° , that is
TBU + UT = 360°
TBU + 92° = 360° ( subtract 92° from both sides )
TBU = 268°