Find m <ABC (7x-1) (3x-9

Answer:
Therefore, [tex] \angle ABC = 48\degree[/tex]
Step-by-step explanation:
We need to find the [tex] \angle ABC[/tex]
Since, [tex] \angle DBC = 180\degree[/tex] ( since DBC is straight line )
[tex](7x-1)+(3x-9)=180\degree[/tex]
[tex]10x-10=180 \degree[/tex]
Add both the sides by 10 in above expression
[tex]10x-10+10=180\degree+10[/tex]
[tex]10x=180 \degree+10[/tex]
[tex]10x=190 \degree[/tex]
divide both the sides by 10 in above expression
[tex]x=\frac{190}{10}[/tex]
[tex]x=19 [/tex]
Hence, the value of x is 19.
Now, we will calculate [tex] \angle ABC[/tex]
[tex] \angle ABC = 3x-9[/tex]
Put x = 19 in above
[tex] \angle ABC = 3(19)-9[/tex]
[tex] \angle ABC = 57-9[/tex]
[tex] \angle ABC = 48[/tex]
Therefore, [tex] \angle ABC = 48[/tex].