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pishuonlain [190]
2 years ago
7

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

Mathematics
1 answer:
Sindrei [870]2 years ago
8 0

Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding x</u>

  • 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
  • ⇒ <u>x = 15</u>

<u></u>

<u>Finding y</u>

  • 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
  • <u>⇒ y = 50</u>
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