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Answer :

Solution:

The sum of 50 and 2x must equal 150 because of vertically opposite angles.

Thus, the equation formed:

  • 50 + 2x = 150

Simplify the equation to find x.

Subtract 50 both sides:

  • 50 - 50 + 2x = 150 - 50
  • => 2x = 100

Divide 2 both sides:

  • 2x = 100
  • => x = 100/2 = 50

The pair of angles given here share a relationship called Vertically Opposite angles...

  • *Note that:- Vertically opposite angles are equal to each other

So,

[tex]50 + 2x = 150[/tex]

[tex]2x = 150 - 50[/tex]

[tex]2x = 100[/tex]

[tex]x = 50[/tex]

  • Let's verify if our answer is correct!

Substitute x as 50 in the equation we formed

[tex]50 + 2x = 150 \\ 50 + 2 \times 50 = 150 \\ 50 + 100 = 150 \\ 150 = 150[/tex]

Hence, Proved!✓

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