Question

line j and line k are parallel. what kind of angles are shown in the figure? what does this tell us about their measures? what is the value of x? (14x - 25)° 129° the angles are select, so they are select. x = select

Explanation:

Step1: Identify angle - type

The angles are corresponding angles (formed by a transversal intersecting two parallel lines, in the same relative position). Corresponding angles are congruent when the lines are parallel.

Step2: Set up an equation

Since the corresponding angles are equal, we set up the equation \(14x−25 = 129\).

Step3: Solve the equation for \(x\)

Add 25 to both sides of the equation: \(14x=129 + 25\), so \(14x=154\). Then divide both sides by 14: \(x=\frac{154}{14}=11\).

Answer:

The angles are corresponding angles, so they are congruent. \(x = 11\)