We know that angles 4c+c+4alpha+alpha=180 degrees and recalling that the inner triangles of a triangle add up 180 degrees we get:
[tex]\begin{gathered} 5c+5\alpha=180^{\circ}\Rightarrow c+\alpha=\frac{180^{\circ}}{5}=36^{\circ} \\ \alpha+c+x=180^{\circ} \\ \Rightarrow \\ x=180^{\circ}-c-\alpha^{}=180^{\circ}-36^{\circ}=144^{\circ} \\ \end{gathered}[/tex]
Answer: x=144 degrees.
