The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.
In accordance with geometry, two lines are perpendicular to each other if and only if the measure of the angle between the two lines is equal to 90°. Then, the angle SXW must be equal to 90° and we need to solve for x in the following equation:
5 · x - 16 = 90
5 · x = 106
x = 106 / 5
The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.
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