Start with an acute triangle and form a new triangle from the points of tangency of its inscribed circle. Continue this process to make make the triangle with blue vertices. What is the maximum possible angle at a blue vertex?

Solution

The maximum blue angle is 495°/8, which is approximately 61.9°.

Start with an acute triangle and form a new triangle from the points of tangency of its inscribed circle. Continue this process to make make the triangle with blue vertices. What is the maximum possible angle at a blue vertex? https://t.co/ORF3nW3C00 By @MarshallWBuck pic.twitter.com/DPXKzVNh4o

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