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 / 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 ~