Question

Can someone please help with this!!

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The value of x is ~

• $\boxed{7 \degree}$

The value of bolded Angle is ~

• $\boxed{75 \degree }$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

The given angles forms Co- interior angle pair, so their sum is equal to ~ 180°

now, let's solve for x ~

➢ $16x - 7 + 11x - 2 = 180$

➢ $27x - 9 = 180$

➢ $27x = 180 + 9$

➢ $27x = 189$

➢ $x = 189 \div 27$

➢ $x = 7 \degree$

Now, let's find the measure of indicated angle ~

that is ~

➢ $11x - 2$

➢ $11(7) - 2$

➢ $77 - 2$

➢ $75 \degree$

I hope it helps ~