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Sagot :
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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