Hazri made another 2 *pencilogons* using \(p\) and \(q\) identical pencils with pencil tips of angle \(\alpha\) and \(\beta\) respectively (\(p>q\)).

If \(\frac{\alpha}{\beta}\) can be expressed as \(\frac{180-62k}{180-61k}\) where \(k\) is a positive real number, and \(\beta-\alpha=2k\), then the maximum value of \(q\) is...

This is one part of 1+1 is not = to 3.

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