# It All Came From Pencils 3

**Geometry**Level 3

*pencilogons*" by aligning multiple identical pencils end of tip to start of tip together without leaving any gaps, as shown above, so that the enclosed area forms a regular polygon (the example above left is an 8-

*pencilogon*).

Hazri wants to make an \(n\)-*pencilogon* using \(n\) identical pencils with pencil tips of angle \(7^\circ.\) After he aligned \(n-18\) pencils, he found out the gap between the two ends is too small to fit in another pencil.

So, in order to complete the *pencilogon*, he has to sharpen all the \(n\) pencils so that the angle of all the pencil tips becomes \((7-m)^\circ\).

Find the value of \(m+n\).