## Geometry: Common Core (15th Edition)

$x = \frac{169}{5}$ or $x = 33.8$
According to the exterior angle theorem, an exterior angle is congruent to the sum of the two opposite interior angles. Let us set up that equation to solve for $x$: $5x - 6 = 75 + 44$ Do the addition on the right side of the equation: $5x - 6 = 163$ Add $6$ to both sides of the equation to isolate the $x$ term on the left side of the equation: $5x = 169$ Divide both sides by $5$ to solve for $x$: $x = \frac{169}{5}$ or $x = 33.8$