Question

solve for x. (equation required)
14)

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, \(19x + 9=59+(11x - 2)\)

Step2: Simplify the equation

First, simplify the right - hand side: \(59+(11x - 2)=11x+59 - 2=11x + 57\)
The equation becomes \(19x+9 = 11x+57\)
Subtract \(11x\) from both sides: \(19x-11x + 9=11x-11x + 57\), which gives \(8x+9 = 57\)
Subtract 9 from both sides: \(8x+9 - 9=57 - 9\), so \(8x=48\)
Divide both sides by 8: \(x=\frac{48}{8}\)

Answer:

\(x = 6\)