The value of x from the given diagram is 64 degrees
Lines and angles
A line is defined as the shortest distance between two points. From the given diagram, we have that the line AB bisects FAB, hence;
<FAB = <CAB = 58 degrees
Also since the sum of angles on a straight line is 180 degrees, hence;
58 + 58 + x = 180
116 + x = 180
x = 180 - 116
x = 64 degrees
Hence the value of x from the given diagram is 64 degrees
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