Question

given m||n, find the value of x. parallel lines with transversal no late credit grade: 65% problems (level 2) transversal problems with equations (level 1) transversal problems with equations (level 1) transversal problems with equations (level 1) answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((4x + 8)^{\circ}\) and \((2x+10)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(4x + 8=2x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(4x-2x + 8=2x-2x + 10\), which simplifies to \(2x+8 = 10\). Then subtract 8 from both sides: \(2x+8 - 8=10 - 8\), getting \(2x=2\). Divide both sides by 2: \(x = 1\).

Answer:

\(x = 1\)