Respuesta :

Two angles are called supplementary when their measures add up to 180 degrees..

Therefore, we have,

[tex]<\text{ABC}+<\text{CBD}=180[/tex]

Substituting the values we get,

[tex]\begin{gathered} 4x-19+39=180 \\ 4x+20=180 \\ 4x=180-20=160 \\ 4x=160 \\ x=\frac{160}{4}=40 \end{gathered}[/tex]

Thus, the required value of x = 40

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