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Math·Geometry and Trigonometry·Lines, angles, and triangles

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Angle $U$ is a right angle. The measure of angle $V$ is $26^{\circ }$. The length of side $UV$ is 76. Triangle $TUV$ is dilated by a scale factor of $\frac{1}{2}$ to obtain triangle $T^{\prime }{U}^{\prime }{V}^{\prime }$ (not shown), where $T$ corresponds to $T^{\prime }$ and $U$ corresponds to $U^{\prime }$. What is the measure, in degrees, of angle $V^{\prime }$?

A

26

B

13

C

52

D

64