given m||n, find the value of x.\nanswer attempt 1 out of 3\nx =

Answer

Explanation:

Step1: Identify angle - relationship

Since (m\parallel n), the given angles ((4x + 1)^{\circ}) and ((2x-19)^{\circ}) are same - side interior angles, and same - side interior angles are supplementary, so ((4x + 1)+(2x-19)=180).

Step2: Simplify the left - hand side

Combine like terms: (4x+2x + 1-19=180), which simplifies to (6x-18 = 180).

Step3: Isolate the variable term

Add 18 to both sides of the equation: (6x-18 + 18=180 + 18), resulting in (6x=198).

Step4: Solve for x

Divide both sides by 6: (x=\frac{198}{6}=33).