It All Came From Pencils 4

Geometry Level 4

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.

×