Remember that the sum of the interior angles of an hexagon is equal to 720°
Because this is a regular hexagon,
[tex]\begin{gathered} 6x=720\rightarrow x=\frac{720}{6} \\ \rightarrow x=120 \end{gathered}[/tex]
Notice angles x and y lay in the same straight line.
Thereby,
[tex]\begin{gathered} x+y=180 \\ \rightarrow120+y=180 \\ \rightarrow y=180-120 \\ y=60 \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} x=120 \\ y=60 \end{gathered}[/tex]
(The correct answer is option A)
