Explanation
We are given the following:
We are required to determine the value of y in the figure given.
We know that vertically opposite angles are equal.
Therefore, we have:
[tex]\begin{gathered} (3y+20)\degree=(2y+30)\degree \\ 3y+20\operatorname{\degree}=2y+30\operatorname{\degree} \\ 3y-2y=30\degree-20\degree \\ y=10\degree \end{gathered}[/tex]
Hence, the answer is:
[tex]y=10\operatorname{\degree}[/tex]
Option D is correct.
