Question

1. solve for x (click here for video #3).

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \((5x + 2)+64=(12x - 4)\)

Step2: Simplify the equation

First, simplify the left - hand side of the equation: \(5x+2 + 64=5x+66\). The equation becomes \(5x + 66=12x-4\)

Step3: Solve for \(x\)

Subtract \(5x\) from both sides: \(66=12x-4 - 5x\), which simplifies to \(66 = 7x-4\). Then add \(4\) to both sides: \(70=7x\). Divide both sides by \(7\): \(x = 10\)

Answer:

\(x = 10\)