Question

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

Answer 1

`\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