Question

1. find the value of x. (11x - 15)° (5x - 13)°

Explanation:

Step1: Set up the equation

The two angles \((11x - 15)^{\circ}\) and \((5x - 13)^{\circ}\) are equal (vertical angles). 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:

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