Question

value of x.

Explanation:

Step1: Recall sum of interior angles

The sum of interior angles of a quadrilateral is $360^{\circ}$.

Step2: Set up equation

$109 + 66+137 + x=360$.

Step3: Simplify left - hand side

$312 + x=360$.

Step4: Solve for x

$x = 360 - 312$.
$x = 48$.

Answer:

$48$