Question

vertical angles pairs
what is the value of x?
8x - 10
3x + 45

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(8x - 10=3x + 45\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(8x-3x - 10=3x-3x + 45\), which simplifies to \(5x-10 = 45\).
Add \(10\) to both sides: \(5x-10 + 10=45 + 10\), getting \(5x=55\).
Divide both sides by \(5\): \(x=\frac{55}{5}\).

Answer:

\(x = 11\)