Find mÐRQP, if mÐAQP = 153° and mÐRQA = 24°.

Solution:

1. We know the following angle measures:
* m\angle AQP = 153^\circ
* m\angle RQA = 24^\circ

2. To find m\angle RQP, use the angle addition property:
* m\angle AQP = m\angle RQA + m\angle RQP

3. Substitute the known values into the equation:
* 153^\circ = 24^\circ + m\angle RQP

4. Solve for m\angle RQP:
* m\angle RQP = 153^\circ - 24^\circ = 129^\circ

Therefore, m\angle RQP = 129^\circ.