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

If M 2 BCF Equals 4x M2 CFE Equals 11x What Is M 2 B C F Amp M To C F In Degrees class=

Sagot :

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]

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