This page relates to the questions posed in MathQuizOne.

'''Q1:''' What number is the first blank in the well-known sequence below?

60, blank, blank, 120, blank, blank, 140, 144, blank, 150, ...

'''A1:''' The answer is 90. The numbers are generated by 180 - 360/n (where n takes the successive integer values 3, 4, 5, ...)
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'''Q2:''' Why is the sequence "well-known"?

'''A2:''' Consider the simple regular polygons with n sides, where n = 3, 4, 5, etc. The number of degrees in the interior angle at a vertex is given by 180 - 360/n. 
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Some notes from solvers:

Interesting challenge: how to communicate that you know without passing along valuable clues.  Hm... It involves something that you can do at the dinner table if you have enough silverware. --DaveSmith

This is actually a topic in information theory, called Zero Knowledge Interactive Proof Systems. -- UncleMatt

The classic solution is to code the answer in an anagram, like:
"The angels of regal Ulys' pogon". Today, 
we just give out a crypto hash of the correct answer. -- StephanHouben

It seems harder to give an good unhelpful hint than to solve the problem.  Here's a pretty obscure one. (two levels of indirection)  Teaspoon of water... -- MatthewWilbert  (This was intended to be decoded as TSPH2O, and then to
Triangle,Square,Pentagon,Hexagon,Heptagon,Octagon.)

[Fair enough - but one level really - I had thought you were hinting at "n" as well ('an good' instead of 'a good') -- vk]

For this type of answer, the subtlest hint that you've figured it out correctly suffices -- VickiKerr [''Get it?'']
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One of the tricky parts of Q2 is that not all of the ''blank''s are integers, but since the problem involves a sequence, you are lulled into thinking that they are.
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