It looks like you've uploaded an image containing various geometric diagrams involving circles and angles. How would you like to proceed with this image? Are there specific problems or questions related to these figures that you need help with? Let me know if you'd like assistance solving or analyzing anything from these diagrams!

Additionally, feel free to ask for further details or explanations if needed. Here are some related questions that could help explore the concepts further:

1. What are the properties of cyclic quadrilaterals, and how do they relate to the angles shown in these diagrams?
2. How can we calculate unknown angles in cyclic polygons using the properties of circles?
3. What is the significance of the perpendicularity mentioned in the last figure?
4. How do we prove relationships involving secants and tangents within a circle?
5. What is the role of opposite angles in a cyclic quadrilateral and how can they be used to find other unknown angles?

Tip: When solving geometry problems like this, it's helpful to use known properties of cyclic quadrilaterals (like opposite angles summing to 180°) and inscribed angles. These can lead to shortcuts for solving angle-related problems.