Question

a side of the triangle below has been extended to form an exterior angle of $76^\circ$. find the value of $x$.
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Find adjacent interior angle

The exterior angle and its adjacent interior angle are supplementary, so the interior angle is $180^\circ - 76^\circ = 104^\circ$.

Step2: Sum triangle interior angles

The sum of angles in a triangle is $180^\circ$. Set up the equation:
$$x + 51^\circ + 104^\circ = 180^\circ$$

Step3: Solve for $x$

Calculate the sum of known angles, then subtract from $180^\circ$:
$$x = 180^\circ - 51^\circ - 104^\circ = 25^\circ$$

Answer:

$25$