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]