By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.
What is the value of a variable associated with a system formed by two angles?
By geometry we know that a line crossed by another line non-parallel to it generates four pairs of supplementary angles. Two angles are supplementary whether they are adjacent to each other and the sum of their measures equals 180°. Then, we derive the following equation:
2 · x + 20 + 2 · x - 4 = 180
4 · x + 16 = 180
4 · x = 164
x = 164 / 4
x = 82 / 2
x = 41
By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.
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