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13 solve for x. answer: 21x + 4 22x - 2

Question

13 solve for x. answer: 21x + 4 22x - 2

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we set up the equation $21x + 4=22x - 2$.

Step2: Isolate the variable x

Subtract $21x$ from both sides of the equation: $21x+4 - 21x=22x - 2-21x$. This simplifies to $4=x - 2$.

Step3: Solve for x

Add 2 to both sides of the equation: $4 + 2=x-2 + 2$. So $x = 6$.

Answer:

$x = 6$