Respuesta :

Answer:

m<UVT = 114°

Step-by-step explanation:

½(sum of intercepted arcs) = measure of vertex of an angle inside a circle

Thus:

½(FS + UT) = m<UVT

Substitute

½(53 + 175) = m<UVT

½(228) = m<UVT

114 = m<UVT

m<UVT = 114°