The value of x given the angles is 11
From the given question, assuming the given angles are equal, hence;
m<M = m<N (vertical angles)
Given the following parameters
m<M = 3x - 16
m<N = x + 6
Equating the expressions
3x - 16 = x + 6
3x - x = 6 + 16
2x = 22
x = 11
Hence the value of x given the angles is 11
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