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Congruency Conundrum Mystery Cache

Difficulty:
2.5 out of 5
Terrain:
2 out of 5

Size: Size:   small (small)

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Geocache Description:

Here is a chance to relive your school days, but don't go to the posted coordinates unless you need to do some shopping.

I was helping my 13-yr old daughter with her homework the other night (she didn't need too much help, I'm so proud!). What she was working on made me think - geocache puzzle! Ok, I admit it, there are lots of things that make me think this, but this one will give you an opportunity to brush up on some skills you probably learned in school long ago. No new-fangled math here, just plain old-school geometry.

Take a look at the graphic below. Each letter in the graphic represents an angle, in degrees. Once you have established the basic rules for such angles, you should be able to deduce all the angles with the information given.


Once you have all the angles, use this information to fill in the formulas below to get the final coordinates:

N 47 (R-V).(Q-M)(K+C)
W 122 (P-Y+1).(J+V+F+E+B+A+W+X+U+G+P)

You can check your answers for this puzzle on Geochecker.com.

Additional Hints (Decrypt)

Ubyybj ohey ba gra-vapu qvnzrgre gehax fvk vapurf nobir tebhaq gra srrg sebz gur cnirzrag.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)