Question

a side of the triangle below has been extended to form an exte
find the value of $x$.
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Find adjacent interior angle

The 156° angle and the interior angle adjacent to it are supplementary (they form a straight line).
Let the interior angle be $y$. Then $y + 156^\circ = 180^\circ$, so $y = 180^\circ - 156^\circ = 24^\circ$.

Step2: Calculate $x$ using triangle sum

The sum of angles in a triangle is $180^\circ$. So $x + y + 49^\circ = 180^\circ$.
Substitute $y=24^\circ$: $x + 24^\circ + 49^\circ = 180^\circ$
$x = 180^\circ - 24^\circ - 49^\circ$

Answer:

$107^\circ$