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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
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