Question

If m 2 BCF equals 4x + M2 CFE equals 11x what is m 2 B C F & M to c f in degrees

Answer 1

Given :

m∠ BCF = 4X

m∠ CFE = 11X

The angle BCF and CFE are supplementary angles

So,

m∠ BCF + m∠ CFE = 180

So,

`\begin{gathered} 4x+11x=180 \\ 15x=180 \\ \\ x=(180)/(15)=12 \end{gathered}`

So, the measure of the angles will be :

`\begin{gathered} m\angle BCF=4\cdot12=48 \\ \\ m\angle CFE=11\cdot12=132 \end{gathered}`