Respuesta :

Answer:

[tex]\angle ABC=63\textdegree[/tex]

Step-by-step explanation:

[tex]\angle ABC=4x+23\\\angle CBD=6x+7\\\angle ABD=130\textdegree \\\angle ABD=\angle ABC+\angle CBD\\\\\Rightarrow4x+23+6x+7=130\\\Rightarrow10x+30=130\\\Rightarrow10x=100\\\Rightarrow x=10[/tex]

Substitute the value of [tex]x[/tex]

[tex]\angle ABC=4x+23\\=4\times10+23\\=40+23\\=63[/tex]

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