Question

what is the value of x?
x =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(5x + 96+7x=180\).

Step2: Combine like terms

Combine the \(x\) - terms: \((5x + 7x)+96 = 180\), which simplifies to \(12x+96 = 180\).

Step3: Isolate the term with \(x\)

Subtract 96 from both sides: \(12x+96 - 96=180 - 96\), so \(12x=84\).

Step4: Solve for \(x\)

Divide both sides by 12: \(x=\frac{84}{12}\).

Answer:

\(x = 7\)