The value of x should be 20 for the line l to be parallel to the line m
What are parallel lines?
Parallel lines are those lines that are equidistant from each other and never meet.
Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.
Therefore, for the line l to be parallel to the line m, the angles formed are corresponding angles.
Corresponding angles are equal.
Therefore,
3x - 20 = 2x + 10
3x - 2x = 10 + 20
x = 20
Therefore, the value of x should be 20 for the line l to be parallel to the line m.
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