Questions: Find the value of x that makes j k.

Find the value of x that makes j k.
Transcript text: Find the value of $x$ that makes $j \| k$.
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Solution

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Solution Steps

Step 1: Establish the relationship between the angles

If lines _j_ and _k_ are parallel, then the given angles (3x + 10)° and (5x - 10)° are corresponding angles. Corresponding angles are congruent.

Step 2: Set up an equation

Since the angles are congruent, we can set them equal to each other: 3x + 10 = 5x - 10

Step 3: Solve for x

Subtract 3x from both sides: 10 = 2x - 10

Add 10 to both sides: 20 = 2x

Divide both sides by 2: x = 10

Final Answer:

The value of x that makes j || k is 10.

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