The measure of angle 6 in the transversal that cut the parallel lines is 57 degrees
Angles formed when a transversal cut parallel lines
When a transversal line cut parallel lines, the angles formed are corresponding angles, alternate angles, vertically opposite angles etc.
Therefore,
∠2 = 180 - 123 = 57° (angle on a straight line)
Therefore,
∠2 ≅ ∠6 (corresponding angles)
Hence,
∠6 = 57 degrees
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