Geometry / Mr. Hansen 
Name: _______________________ 
AngleArc Puzzles Created by Students and Mr. Hansen
1. 
Chris M.’s awardwinning
puzzle for 2004, edited by Mr. Hansen 

Note: The angles are straightforward, but I cannot find a way to find the radius (EB or EC) without using the Law of Cosines, a topic from Algebra II. If I tell you that the radius is approximately 5.0346, any geometry student should be able to find not only EH and EK, as required by Chris’s original puzzle, but EJ as well.







2. 
An easier puzzle
by Nico C. (edited by Mr. Hansen) 

Note: The original version of this puzzle had
arc LO = 100°.
Can you prove that that would be impossible? 


3. 
A puzzle by Mr.
Hansen that is not hard if you look at it in the right way 

