Question

given m||n, find the value of x. (8x - 7)° (x + 16)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(8x - 7=x + 16\).

Step2: Isolate the variable \(x\)

Subtract \(x\) from both sides: \(8x - x-7=x - x + 16\), which simplifies to \(7x-7 = 16\).

Step3: Add 7 to both sides

\(7x-7 + 7=16 + 7\), getting \(7x=23\).

Step4: Solve for \(x\)

Divide both sides by 7: \(x=\frac{23}{7}\approx3.29\).

Answer:

\(x = \frac{23}{7}\)