Question

given the following picture, find the value of x. x = type your answer...

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(80^{\circ}+(8x + 2)+6x=180^{\circ}\).

Step2: Simplify the equation

Combine like - terms: \(80+2+8x+6x = 180\), which becomes \(82+14x=180\).

Step3: Solve for \(x\)

Subtract 82 from both sides: \(14x=180 - 82\), so \(14x=98\). Then divide both sides by 14: \(x=\frac{98}{14}\).

Answer:

\(x = 7\)