Question

a side of the triangle below has been extended to form an exterior angle of 132°. 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.
Let the two non - adjacent interior angles be $17^{\circ}$ and $x^{\circ}$, and the exterior angle be $132^{\circ}$. So, $17 + x=132$.

Step2: Solve for $x$

Subtract 17 from both sides of the equation: $x = 132−17$.
$x=115$.

Answer:

$115$