The measure of the inscribed angle RST exists half the measure of its intercepted arc, that is
∠ RST = 0.5 × 94° = 47°
How to find the measure of RST?
If an angle exists inscribed in a circle, then the measurement of the angle equals one-half the measure of its intercepted arc.
The measure of the inscribed angle RST exists half the measure of its intercepted arc, that is
[tex]$m \angle S=\frac{1}{2}(m \widehat{RT})[/tex]
= (1/2)94°
∠ RST = 0.5 × 94° = 47°
Therefore, the correct answer is option D. 47°.
To learn more about circles
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