Question

question
a side of the triangle below has been extended to form an exterior angle of $131^\circ$.
find the value of $x$.
answer attempt 2 out of 2
$x = $

Explanation:

Step1: Find adjacent interior angle

The exterior angle and its adjacent interior angle are supplementary (sum to $180^\circ$).
Let the adjacent interior angle be $y$.
$y = 180^\circ - 131^\circ = 49^\circ$

Step2: Use triangle angle sum property

The sum of angles in a triangle is $180^\circ$.
$x + 112^\circ + 49^\circ = 180^\circ$

Step3: Solve for $x$

Calculate the sum of known angles, then subtract from $180^\circ$.
$x = 180^\circ - 112^\circ - 49^\circ = 19^\circ$

Answer:

$19$