Question

given (mparallel n), find the value of (x). answer attempt 1 out of 3 (x =)

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((2x - 29)^{\circ}\) and \((7x+2)^{\circ}\) are supplementary (same - side interior angles). So, \((2x - 29)+(7x + 2)=180\).

Step2: Simplify the equation

Combine like - terms: \(2x+7x-29 + 2=180\), which gives \(9x-27 = 180\).

Step3: Isolate the variable term

Add 27 to both sides of the equation: \(9x-27 + 27=180 + 27\), resulting in \(9x=207\).

Step4: Solve for x

Divide both sides by 9: \(x=\frac{207}{9}=23\).

Answer:

23