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Answer :
When two parallel lines are cut by a transversal, the sum of the interior angles on the same side of the transversal is always 180 degrees. This is known as the Angle Sum Property of Parallel Lines.
To understand why this is the case, let's consider an example.
Imagine you have two parallel lines, labeled line 1 and line 2. Now, draw a transversal line that intersects both parallel lines. This will create several pairs of corresponding angles, such as angle 1 and angle 2, angle 3 and angle 4, and so on.
The interior angles on the same side of the transversal are angle 1 and angle 4.
Now, if you measure the sum of angle 1 and angle 4, you will find that it always equals 180 degrees. This holds true for any pair of interior angles on the same side of the transversal.
Therefore, when given the expression (56x^(4)y)/(4),
it is not directly related to the Angle Sum Property of Parallel Lines.
It seems to be a separate mathematical expression or equation that requires evaluation or simplification.
To proceed, we need more information about what specifically needs to be done with this expression.
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