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To find the value of x, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
Since angle A measures 55 degrees and angle B measures 7x degrees, we can set up the equation:
55 + 7x = 180
Now, we can solve for x:
7x = 180 - 55
7x = 125
x = 125/7
x = 17.857
Therefore, the value of x is approximately 17.857.