Question

given m||n, find the value of x. (5x + 28)° (7x - 4)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((5x + 28)^{\circ}\) and \((7x-4)^{\circ}\) are corresponding angles and are equal. So, \(5x + 28=7x - 4\).

Step2: Solve the equation for \(x\)

First, subtract \(5x\) from both sides: \(28=7x - 5x-4\), which simplifies to \(28 = 2x-4\).
Then add 4 to both sides: \(28 + 4=2x\), so \(32 = 2x\).
Finally, divide both sides by 2: \(x=\frac{32}{2}=16\).

Answer:

\(x = 16\)