Question

a side of the triangle below has been extended to form an exterior angle of 131°. find the value of x.
triangle image
x = blank submit answer

Explanation:

Step1: Find adjacent interior angle

The exterior angle and its adjacent interior angle are supplementary, so:
$180^\circ - 131^\circ = 49^\circ$

Step2: Calculate $x$ using triangle angle sum

The triangle is right-angled ($90^\circ$), so sum of angles is $180^\circ$:
$x = 180^\circ - 90^\circ - 49^\circ$

Answer:

$x = 41$