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SMO 2016 Junior Round 1 Question 18

SMO · SMO 2016 Junior Round 1

Question 18

$P$ and $Q$ are two regular polygons with respectively $n$ and $m$ number of sides. The ratio of the interior angles of $P$ and $Q$ is $4:3$. If $n\gt m$, how many possible pairs of $(n,m)$ are there?