Question

submitting an external tool available until nov 17 at 11:59pm
answer attempt 1 out of 2
$x=$ submit answer

Explanation:

Step1: Use the property of consecutive interior angles

Since lines \(m\) and \(n\) are parallel and cut by a transversal, \((7x - 17)+(7x + 1)=180\) (consecutive interior angles are supplementary).
$$(7x - 17)+(7x + 1)=180$$

Step2: Simplify the left - hand side of the equation

Combine like terms: \(7x+7x-17 + 1=180\), which gives \(14x-16 = 180\).
$$14x-16=180$$

Step3: Solve for \(x\)

Add \(16\) to both sides: \(14x=180 + 16\), so \(14x=196\). Then divide both sides by \(14\): \(x=\frac{196}{14}\).
$$x = 14$$

Answer:

\(14\)