Question

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

Explanation:

Step1: Use property of parallel lines

When $m\parallel n$, the angles $(10x - 2)^{\circ}$ and $(4x-28)^{\circ}$ are supplementary (linear - pair of angles formed by a transversal with parallel lines), so $(10x - 2)+(4x-28)=180$.

Step2: Simplify the left - hand side

Combine like terms: $10x+4x-2 - 28=180$, which gives $14x-30 = 180$.

Step3: Isolate the variable term

Add 30 to both sides of the equation: $14x-30 + 30=180 + 30$, resulting in $14x=210$.

Step4: Solve for x

Divide both sides by 14: $x=\frac{210}{14}=15$.

Answer:

$x = 15$