Questions: Find the value of (x). (x=1)

Find the value of (x). (x=1)
Transcript text: Find the value of $x$. \[ x=1 \]
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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: \[ 5x + 4 = 8x - 71 \]

Step 2: Solve for \( x \)

First, we need to isolate \( x \). Subtract \( 5x \) from both sides of the equation: \[ 4 = 3x - 71 \]

Next, add 71 to both sides to isolate the term with \( x \): \[ 75 = 3x \]

Finally, divide both sides by 3 to solve for \( x \): \[ x = 25 \]

Final Answer

\[ x = 25 \]

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