Question

a side of the triangle below has been extended to form an exterior angle of 126°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the non - adjacent interior angles be $x$ and $104^{\circ}$, and the exterior angle be $126^{\circ}$. So, $x + 104^{\circ}=126^{\circ}$.

Step3: Solve for $x$

Subtract $104^{\circ}$ from both sides of the equation: $x=126^{\circ}- 104^{\circ}$.
$x = 22^{\circ}$

Answer:

$22$