What is the measure of rst shown in the diagram below

A.

Step-by-step explanation:

We can see from our given diagram that angle RST is formed by intersection of two tangents of our circle.

We will use Tangent-Tangent Angle theorem, which states that if an angle is formed by two intersecting tangents,  then the measure of the angle is one-half  the difference of the measures of the intercepted  arcs (the major arc - the minor arc).  

We can see that major arc is RT and minor arc is UV.

Upon substituting measures of our major arc and minor arc we will get,

Therefore, measure of RST is 64 degrees and option A is the correct choice.

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21/58.

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