Questions: Find the value of x.

Find the value of x.
Transcript text: Find the value of $x$.
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Solution

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Solution Steps

Step 1: Identify the relationship between the angles

The given angles are vertical angles, which means they are equal. Therefore, we can set up the equation: 6x+7=8x−17 6x + 7 = 8x - 17

Step 2: Solve for x x

First, isolate x x by moving all x x -terms to one side and constants to the other side: 6x+7=8x−17 6x + 7 = 8x - 17 Subtract 6x 6x from both sides: 7=2x−17 7 = 2x - 17 Add 17 to both sides: 24=2x 24 = 2x Divide both sides by 2: x=12 x = 12

Final Answer

x=12 x = 12

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