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Catriona's Angle on Tangent Circles

Author:
John Golden
Topic:
Angles, Circle
Another great Catriona Agg puzzle with a degree of freedom. I think the angle is going to be constant for any isosceles... Original: https://twitter.com/Cshearer41/status/1322486941523300352
Image
Why is it constant? Extension: what if it was not a right triangle?

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