[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
- [tex] \boxed{7 \degree}[/tex]
The value of bolded Angle is ~
- [tex] \boxed{75 \degree }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The given angles forms Co- interior angle pair, so their sum is equal to ~ 180°
now, let's solve for x ~
➢ [tex]16x - 7 + 11x - 2 = 180[/tex]
➢ [tex]27x - 9 = 180[/tex]
➢ [tex]27x = 180 + 9[/tex]
➢ [tex]27x = 189[/tex]
➢ [tex]x = 189 \div 27[/tex]
➢ [tex]x = 7 \degree[/tex]
Now, let's find the measure of indicated angle ~
that is ~
➢ [tex]11x - 2[/tex]
➢ [tex]11(7) - 2[/tex]
➢ [tex]77 - 2[/tex]
➢ [tex]75 \degree[/tex]
I hope it helps ~
