Tangent Circle Ratios
Ramadheer tagged me in this cool problem on twitter. https://twitter.com/f2168e63d6994ed/status/1298993025717157889?s=20
My first step is usually to make it in GGB. The dashed lines here are angle bisectors, used to find the 2nd and 3rd circles. A, C and E control the diagram or you can set the angle with the input box.
Can you find the relationship between the angle and the circle radius ratio?
Original problem
