MHB Inscribed Angles to Identifying and Understanding

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Identifying inscribed angles can be challenging, even with knowledge of the relevant theorem. A suggested method involves sketching lines from the center of the circle to the points where the inscribed figure intersects the circle. This visual representation may clarify the relationships between the angles and the arcs they subtend. Understanding how these angles relate to the circle's geometry is essential for accurate identification. Applying these techniques can enhance comprehension of inscribed angles.
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I've been having trouble identifying these inscribed angles for a while. I know the theorem that goes with this topic but I'm unsure how it applies :c.
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Sketch lines out from the centre of the circle to where the points of the inscribed figure meet the circle. Does that help?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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