Question

1. if line j is parallel to line k. what is the value of x?

x =

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, the sum of the interior angles on the same side is \(180^{\circ}\). So, \((6x + 3)+87 = 180\).

Step2: Simplify the equation

First, combine like - terms: \(6x+3 + 87=6x + 90\). Then the equation becomes \(6x+90 = 180\).
Subtract 90 from both sides: \(6x=180 - 90\), so \(6x = 90\).

Step3: Solve for \(x\)

Divide both sides of the equation \(6x = 90\) by 6. We get \(x=\frac{90}{6}=15\).

Answer:

\(15\)