Final answer:
To determine the measure of angle MQP with only the measure of angle MNP given, additional context or a diagram is necessary.
Step-by-step explanation:
If m∆MNP is 107 degrees, to find m∆MQP, we need more information about the points and lines involved. Generally, if points M, N, P, and Q lie on the same circle and MN is a diameter, then ∆MQP is a right angle, making m∆MQP 90 degrees due to the inscribed angle theorem. However, without a diagram or more context, we can't determine m∆MQP.