Solving for Variables in the Circle

[velvet tea]

Directions given: Find the values of the variables m and n.

 

[R.M.]

In the context of the circle, what kind of angle is R? S? What do your notes say about properties involving these types of angles? What arcs are those angles intercepting? Read the diagram and apply some of the things you have learned.

 

[pka]

Directions given: Find the values of the variables m and n.
View attachment 25482

Angles \(\angle R~\&~\angle S\) intercept the same arc, \(\widehat{VT}\). Therefore, \(m(\angle R)=m(\angle S)\) .
What is it?