By applying the alternate exterior angle theorem, the value of x is equal to 30.
What are parallel lines?
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?
The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.
By applying the alternate exterior angle theorem, we have:
2x + 57 = 4x - 3
4x - 2x = 57 + 3
2x = 60
x = 60/2
x = 30.
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