For the two lines A and B to be parallel to each other, the value of x should be equal to 20.
What are corresponding angles?
In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.
The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.
As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,
∠2 = ∠5
3x - 20 = x + 20
3x - x = 20 + 20
2x = 40
x = 20
Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.
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