Question

fill in the blank 4 points
find the value of x.
(11x - 15)°
(5x - 13)°
x = type your answer...

Explanation:

Step1: Set up the equation

Vertical angles are equal. So, \(11x - 15=5x - 13\).

Step2: Solve for \(x\)

Subtract \(5x\) from both sides: \(11x-5x - 15=5x-5x - 13\), which simplifies to \(6x-15=-13\).
Add \(15\) to both sides: \(6x-15 + 15=-13 + 15\), so \(6x=2\).
Divide both sides by \(6\): \(x=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)