Question

I need help with this, thanks

Answer 1

9

Explanation:

Vertical angles are congruent, so:

`16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9`

Answer 2

y = 9

Explanation:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore, equate the expressions and solve for y:

`\begin{aligned}(18y-18)^(\circ)&=16y^(\circ)\\18y-18&=16y\\18y-18+18&=16y+18\\18y&=16y+18\\18y-16y&=16y+18-16y\\2y&=18\\2y / 2 &=18 / 2 \\y&=9\end{aligned}`

Therefore, the value of y is 9.