Question

a side of the triangle below has been extended to form an exterior angle of 110°. find the value of x.

Explanation:

Step1: Recall exterior angle property

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. Here, the unknown interior angle is $x$, the given interior angle is $x$, and the exterior angle is $102^\circ$.

Step2: Set up the equation

$x + x = 102^\circ$

Step3: Simplify and solve for $x$

$2x = 102^\circ$
$x = \frac{102^\circ}{2}$

Answer:

$51^\circ$