Question

solve for x. (equation required) 13)

Explanation:

Step1: Find the exterior angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, \(\angle FEG = 180^{\circ}- 125^{\circ}=55^{\circ}\), and \(\angle FEG\) is an exterior angle of \(\triangle FEG\). So, \(10x - 5+6x + 2=125\)

Step2: Simplify the equation

Combine like terms: \((10x+6x)+(-5 + 2)=125\), which gives \(16x-3 = 125\)

Step3: Solve for \(x\)

Add \(3\) to both sides: \(16x-3 + 3=125 + 3\), so \(16x=128\)
Divide both sides by \(16\): \(x=\frac{128}{16}\)

Answer:

\(x = 8\)