Question

given m||n, find the value of x. (6x + 10)° (7x + 9)°

Explanation:

Step1: Use property of parallel lines

Since \(m\parallel n\), the two angles \((6x + 10)^{\circ}\) and \((7x+9)^{\circ}\) are alternate - exterior angles and are equal. So we set up the equation \(6x + 10=7x + 9\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides of the equation: \(6x+10-6x=7x + 9-6x\), which simplifies to \(10=x + 9\). Then subtract 9 from both sides: \(10 - 9=x+9 - 9\).

Answer:

\(x = 1\)