5. Find x. The angle is 40 degrees.

Solution:

• The angle marked $$40^\circ$$ is a central angle $$\angle SON$$. Thus, arc SN = $$40^\circ$$.
• The angle $$x$$ is an inscribed angle $$\angle SMN$$. This angle subtends arc SN.
• Therefore, $$x = \frac{1}{2} \text{arc SN}$$.
• $$x = \frac{1}{2} imes 40^\circ = 20^\circ$$.

Answer: $$20^\circ$$