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Delicious77 [7]
2 years ago
14

Given m ll n, find the value of x and y. Can someone answer this today please

Mathematics
1 answer:
Artemon [7]2 years ago
3 0

Answer:

  • x = 15, y = 50

Step-by-step explanation:

m and n are parallel and cut by a transversal

<u>Finding x</u>

  • 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
  • 10x + 30 = 180
  • 10x = 150
  • x = 15

<u>Finding y</u>

  • 8x + 12 = 3y - 18     (vertical angles are equal)
  • 8(15) + 12 = 3y - 18
  • 132 = 3y - 18
  • 150 = 3y
  • y = 50
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