Question

Solve for the values of x and y for the regular hexagon.a. x = 120, y = 60b. x = 110, y = 70c. x = 105, y = 75d. x = 60, y = 120e. X = 115, y = 65

Answer 1

Remember that the sum of the interior angles of an hexagon is equal to 720°

Because this is a regular hexagon,

$\begin{gathered} 6x=720\rightarrow x=\frac{720}{6} \\ \rightarrow x=120 \end{gathered}$

Notice angles x and y lay in the same straight line.

Thereby,

$\begin{gathered} x+y=180 \\ \rightarrow120+y=180 \\ \rightarrow y=180-120 \\ y=60 \end{gathered}$

Therefore,

$\begin{gathered} x=120 \\ y=60 \end{gathered}$

(The correct answer is option A)