Question

Find the value of the variable. (3y + 20) (5y 16) A. 2 B. 18 C.1/2D 4 1/2

Answer 1

When two lines intersect, they form two pairs of vertically opposite angles.

Vertically opposite angles are always equal.

So let us equate these two angles and find the value of variable y.

`3y+20=5y-16`

Combine the like terms together

`\begin{gathered} 3y-5y=-16-20 \\ -2y=-36 \\ 2y=36 \\ y=(36)/(2) \\ y=18\degree \end{gathered}`

Therefore, the value of y is 18

B is the correct answer.