The sum of the interior angles of any quadrilateral is 360°.
Therefore, we have,
[tex]4n+5n+6+9n+2+8n-12=360[/tex]
SOlving for n, we get,
[tex]\begin{gathered} 26n-4=360 \\ 26n=364 \\ n=14 \end{gathered}[/tex]
Therefore, the angle m[tex]4n=4\times14=56[/tex]The answer is 56.
