tmua 2016 Q20

tmua · Uk · paper2 1 marks Circles Circle Equation Derivation
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?
& D & 20 & E
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?