Which expression gives the measure of angle RST in the diagram below?
Check the final answer first, then review the worked steps.
Problem
Which expression gives the measure of angle RST in the diagram below?
Step-by-step solution
The angle $\angle RST$ is an exterior angle to the circle. Its measure is half the difference of the intercepted arcs. The intercepted arcs are $162^{\circ}$ and $38^{\circ}$.
Answer
$$\frac{1}{2}(162^{\circ} - 38^{\circ})$$