Angles of Intersecting Chords

This entry is part 94 of 95 in the series Durtles Problems of the Weeks
Problem of the Week #94: Monday September 8th, 2025
As before, these problems are the results of me following my curiosity, and I make no promises regarding the topics, difficulty, solvability of these problems.
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This problem is inspired by the 1975 Canadian Math Olympiad, Q5

a). Find θ.

b). Find θ as an expression of α.

c). Find θ.

d). Find θ as an expression of α and β.

e). Find θ.

f). Find θ as an expression of α and β.

g). Check out this video on the topic.

h). Share your own problem inspired by this one.

i). Give one of these questions to a friend/colleague/student/family member to start a mathematical discussion.

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