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

Transcript text: Find the value of $x$. \[ x=1 \]

Solution

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 $: \[ x = 25 \]

\[ x = 25 \]

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