Question

find the value of x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $49^{\circ}+83^{\circ}+x^{\circ}=180^{\circ}$.

Step2: Simplify the left - hand side

$49 + 83+x=180$, which gives $132 + x=180$.

Step3: Solve for x

Subtract 132 from both sides: $x=180 - 132$.
$x = 48$.

Answer:

$x = 48$