Question

given m||n, find the value of x. (2x + 17)° (10x - 5)° answer attempt 1 out of 2 x =

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding - angles are equal. Here, \((2x + 17)^{\circ}\) and \((10x-5)^{\circ}\) are corresponding angles, so \(2x + 17=10x - 5\).

Step2: Solve the equation for \(x\)

First, move the \(x\) - terms to one side and the constants to the other side. Subtract \(2x\) from both sides: \(17=10x-2x - 5\), which simplifies to \(17 = 8x-5\). Then add 5 to both sides: \(17 + 5=8x\), so \(22 = 8x\). Finally, divide both sides by 8: \(x=\frac{22}{8}=\frac{11}{4}=2.75\).

Answer:

\(x = 2.75\)