Question

question given m||n, find the value of x. answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((9x - 21)^{\circ}\) and \((8x - 3)^{\circ}\) are corresponding angles (assuming a standard transversal - parallel line setup), and corresponding angles are equal. So we set up the equation \(9x-21 = 8x - 3\).

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides of the equation: \(9x-8x-21=8x - 8x-3\), which simplifies to \(x-21=-3\). Then add 21 to both sides: \(x-21 + 21=-3 + 21\).

Answer:

\(x = 18\)