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given m || n, find the value of x. answer attempt 1 out of 2 x =

Question

given m || n, find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angles \((7x - 15)^{\circ}\) and \(97^{\circ}\) are corresponding angles and are equal. So, we set up the equation \(7x-15 = 97\).

Step2: Solve the equation for \(x\)

Add 15 to both sides of the equation: \(7x-15 + 15=97 + 15\), which simplifies to \(7x=112\).
Then divide both sides by 7: \(x=\frac{112}{7}\).

Answer:

\(x = 16\)