Final answer:
To determine the measure of ∠OSQ, more context or a diagram is required as problems about inscribed angles, tangents, and chords require understanding the relationship between points and circles. Without additional information, it is not possible to give a correct answer.
Step-by-step explanation:
The question is asking for the measure of ∠OSQ, however, there doesn't seem to be enough context provided to directly determine this measure. Typically, problems involving inscribed angles, tangents, and chords are related to the properties of circles. For instance, the Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Similarly, the Angle Formed by a Tangent and Chord Theorem indicates that the angle formed outside the circle by a tangent and a chord is half the difference of the intercepted arcs. To find the angle ∠OSQ, one would need a diagram or additional information about the position and relationships between point O, S, and Q in relation to the circle.
However, without the diagram or further context, it is not possible to provide a definitive answer for this question. If you can provide the additional information or a diagram illustrating the problem, a step-by-step explanation for finding the measure of ∠OSQ can then be provided.