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Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y

Analyze the diagram below and answer the question that follows how much larger is-example-1
User Steve Eddins
by
3.2k points

1 Answer

23 votes
23 votes

Answer:


\sf \large \boxed{110 ^\circ}

The Image given shows (vertically opposite angles) :

  • 1st equation: x + 2y = 50
  • 2nd equation: x - 2y = 130

Make x the subject in first equation:

  • x + 2y = 50
  • x = 50 - 2y

Insert this in second equation:

  • (50 - 2y) - 2y = 130
  • 50 - 2y - 2y = 130
  • -4y = 130 - 50
  • -4y = 80
  • y = -20

Find the value of x:

  • x = 50 - 2y
  • x = 50 - 2(-20)
  • x = 90

Difference between them:

  • x - (y)
  • 90 - (-20)
  • 110
User Redmen Ishab
by
3.2k points
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