Given :
m∠ BCF = 4X
m∠ CFE = 11X
The angle BCF and CFE are supplementary angles
So,
m∠ BCF + m∠ CFE = 180
So,
[tex]\begin{gathered} 4x+11x=180 \\ 15x=180 \\ \\ x=\frac{180}{15}=12 \end{gathered}[/tex]
So, the measure of the angles will be :
[tex]\begin{gathered} m\angle BCF=4\cdot12=48 \\ \\ m\angle CFE=11\cdot12=132 \end{gathered}[/tex]
