Explanation:
it is not fully clear what you need.
the text says to find the (length of) arc TVU.
we don't know the size of the circle or anything that's related to this (like length of the line UT).
so, we cannot calculate the absolute length of any arc of the circle.
but then the answer field suddenly says "angle of arc TVU". and this we can do.
the arc angle of UT :
since the vertex (T) of the angle 56° is on the circle (as RS is a tangent), the enclosed arc angle is twice the size of the vertex angle.
arc angle UT = 2×56 = 112°.
therefore, we know that the
arc angle TVU = 360 - 112 = 248°
because it is the remainder to the arc UT of the whole circle.