Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Given m\parallel nm∥n, find the value of x and y.

Given Mparallel Nmn Find The Value Of X And Y class=

Sagot :

Answer:

See below ↓↓

Step-by-step explanation:

Finding x

  • Both the angles containing the x variable are on the same side of the transversal
  • There is a property which states that : two angles on the same side of the transversal are supplementary
  • Therefore, they add up to 180°
  • ⇒ 8x + 12 + 2x + 18 = 180
  • ⇒ 10x + 30 = 180
  • ⇒ 10x = 150
  • ⇒ x = 15

Finding y

  • The angles at the top are vertically opposite angles (VOA), meaning that they are equal
  • ⇒ 8x + 12 = 3y - 18
  • ⇒ 3y = 8(15) + 12 + 18
  • ⇒ 3y = 120 + 30
  • ⇒ 3y = 150
  • ⇒ y = 50
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.