Question

a side of the triangle below has been extended to form an exterior angle of 71°. 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 two non - adjacent interior angles be $x$ and $46^{\circ}$, and the exterior angle be $71^{\circ}$. So, $x + 46^{\circ}=71^{\circ}$.

Step3: Solve for $x$

Subtract $46^{\circ}$ from both sides of the equation: $x=71^{\circ}- 46^{\circ}$.
$x = 25^{\circ}$

Answer:

$25$