TMUA 2016 Paper 2 Q20 — Worked Solution

P2·Number Theory & Divisibility·6.5Official · 2016 · Q20

regular-polygonsinterior-anglesdiophantine-equation

Each interior angle of a regular polygon with

n

sides is

\frac{3}{4}

of each interior angle of a second regular polygon with

m

sides. How many pairs of positive integers

n

and

m

are there for which this statement is true?

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