How To Solve The Hardest Easy Geometry Problem

In the figure, what is the value of angle x? This problem is known as Langley's Adventitious Angles. It is also known as the hardest easy geometry problem because it can be solved by elementary methods but it is notoriously difficult to work out. Can you figure it out? The video presents a solution to this tricky geometry problem.

*At 5:04 I misspoke. I meant BG = BF. We wil shortly prove BG = GF.

Blog post
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Wikipedia entry https://en.wikipedia.org/wiki/Langley...

Math with Bad Drawings Solution
https://mathwithbaddrawings.com/2015/...

World's hardest easy geometry problem
http://thinkzone.wlonk.com/MathFun/Tr...
https://www.duckware.com/tech/worldsh...

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