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given m||n, find the value of x. (5x + 23)° (6x - 4)° answer

Question

given m||n, find the value of x. (5x + 23)° (6x - 4)° answer

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(5x + 23=6x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(5x+23 - 5x=6x - 4-5x\), which simplifies to \(23=x - 4\).
Then add 4 to both sides: \(23 + 4=x-4 + 4\), so \(x = 27\).

Answer:

\(27\)