Question

given m||n, find the value of x. (10x - 1)° (x + 10)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(10x - 1=x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(10x-x-1=x - x+10\), which simplifies to \(9x-1 = 10\).
Then add 1 to both sides: \(9x-1 + 1=10 + 1\), getting \(9x=11\).
Divide both sides by 9: \(x=\frac{11}{9}\).

Answer:

\(x = \frac{11}{9}\)