Answer:
A. [tex]m\angle RST=62^{\circ}[/tex]
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle RST.
We can see that angle RST is formed by intersecting chords inside the circle, so its measure would be half the sum of intercepted arcs as:
[tex]m\angle RST=\frac{\widehat{RT}+\widehat{PQ}}{2}[/tex]
[tex]m\angle RST=\frac{77^{\circ}+47^{\circ}}{2}[/tex]
[tex]m\angle RST=\frac{124^{\circ}}{2}[/tex]
[tex]m\angle RST=62^{\circ}[/tex]
Therefore, the measure of angle RST is 62 degrees.
