Questions: Find the value of x.

Transcript text: Find the value of $x$.

Solution

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: \[ 6x + 7 = 8x - 17 \]

Step 2: Solve for $ x $

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

Final Answer

\[ x = 12 \]

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