The value of x is equal to 16.
What is the variable behind a system formed by two supplementary angles
Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:
(7 · x + 6) + (5 · x - 18) = 180
12 · x - 12 = 180
12 · x = 192
x = 16
The solution to this equation is 16.
Remark
The statement is incomplete, correct form is shown below:
Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.
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