Question

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

Explanation:

Step1: Set up equation

Assume the two angles are vertical angles (since no other information about their relationship is given and vertical angles are equal). So we set \(11x - 15=5x - 13\).

Step2: Move x - terms to one side

Subtract \(5x\) from both sides: \(11x-5x - 15=5x-5x - 13\), which simplifies to \(6x-15=- 13\).

Step3: Move constant to the other side

Add 15 to both sides: \(6x-15 + 15=-13 + 15\), getting \(6x = 2\).

Step4: Solve for x

Divide both sides by 6: \(x=\frac{2}{6}=\frac{1}{3}\).

Answer:

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