Question

a side of the triangle below has been extended to form an exterior angle of 135°. 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.
So, $x + 110^{\circ}=135^{\circ}$.

Step2: Solve for $x$

Subtract $110^{\circ}$ from both sides of the equation: $x=135^{\circ}- 110^{\circ}$.
$x = 25^{\circ}$

Answer:

$25$