Question

given m||n, find the value of x. (6x + 29)° (8x - 7)° answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((6x + 29)^{\circ}\) and \((8x-7)^{\circ}\) are alternate - interior angles and are equal. So, we set up the equation \(6x + 29=8x - 7\).

Step2: Solve the equation for \(x\)

First, subtract \(6x\) from both sides: \(29 = 8x-6x - 7\), which simplifies to \(29 = 2x-7\). Then add 7 to both sides: \(29 + 7=2x\), so \(36 = 2x\). Finally, divide both sides by 2: \(x=\frac{36}{2}=18\).

Answer:

\(18\)