Question

given m||n, find the value of x. (x - 18)° (6x + 2)°

Explanation:

Step1: Use property of parallel lines

When $m\parallel n$, the given angles are same - side interior angles. Same - side interior angles are supplementary, so $(x - 18)+(6x + 2)=180$.

Step2: Simplify the left - hand side

Combine like terms: $x+6x-18 + 2=180$, which gives $7x-16 = 180$.

Step3: Isolate the variable term

Add 16 to both sides: $7x-16 + 16=180 + 16$, so $7x=196$.

Step4: Solve for x

Divide both sides by 7: $\frac{7x}{7}=\frac{196}{7}$, then $x = 28$.

Answer:

$28$