Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Solve For The Values Of X And Y For The Regular Hexagona X 120 Y 60b X 110 Y 70c X 105 Y 75d X 60 Y 120e X 115 Y 65 class=

Sagot :

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)

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.