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 given angles and their relationships

The problem provides two angles: 5x105x - 10^\circ and 6060^\circ. These angles are vertical angles, which means they are equal.

Step 2: Set up the equation

Since vertical angles are equal, we can set up the equation: 5x10=60 5x - 10 = 60

Step 3: Solve for xx

Add 10 to both sides of the equation to isolate the term with xx: 5x10+10=60+10 5x - 10 + 10 = 60 + 10 5x=70 5x = 70

Divide both sides by 5 to solve for xx: x=705 x = \frac{70}{5} x=14 x = 14

Final Answer

The value of xx is 1414.

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