QUESTION IMAGE
Question
given m || n, find the value of x. (8x - 2)° (7x + 7)° answer attempt 1 out of 2 x =
Step1: Use property of parallel lines
When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding - angles are equal. So, we set up the equation \(8x - 2=7x + 7\).
\(8x-2 = 7x + 7\)
Step2: Solve the equation for \(x\)
Subtract \(7x\) from both sides of the equation: \(8x-7x-2=7x - 7x+7\), which simplifies to \(x - 2=7\). Then add 2 to both sides: \(x-2 + 2=7 + 2\).
\(x=9\)
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\(x = 9\)