Question

I am not sure what I am doing wrong here

Answer 1

We know that segment RS is a diameter of the circle, this means that arcs RS an RST measure 180°. Now that we know that an using the ratio for arcs RT and TS given we have:

`\begin{gathered} RT+5RT=180 \\ 6RT=180 \\ RT=(180)/(6) \\ RT=30 \end{gathered}`

Now, we know that an angle inscribed in a circle is half its intercepted arc, then we have:

`m\angle RST=(30)/(5)=15`

Therefore, we have that arc RT is 30° and angle RST is 15°