Question

7 the diagram below shows a parallelogram: (9x - 3)° (6x + 3)° solve for x (show all work on paper): a x = 15 b x = 12 c x = 1 d x = 30 e x = 90

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((9x - 3)+(6x + 3)=180\).

Step2: Simplify the equation

Combine like - terms: \(9x-3 + 6x+3=180\). The \(-3\) and \(+3\) cancel out, giving \(15x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(15x = 180\) by \(15\): \(x=\frac{180}{15}\).

Answer:

\(x = 12\) (Option B)