Corresponding angles in parallel lines are equal.
The value of x must be 12
For u and v to be parallel,
\(9x + 22\) and \(11x - 2\) must be equal, because both angles must be equal
So, we have:
\(9x + 22 = 11x - 2\)
Collect like terms
\(11x - 9x = 22 + 2\)
\(2x = 24\)
Divide both sides by 2
\(x = 12\)
Hence, the value of x must be 12
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