Question

find the value of x.

Explanation:

Step1: Recall sum - of - interior - angles formula

The sum of the interior angles of a quadrilateral is $(4 - 2)\times180^{\circ}=360^{\circ}$.

Step2: Set up an equation

We have $x + 126+93 + 92=360$.

Step3: Simplify the left - hand side

$x+(126 + 93+92)=x + 311$.
So the equation becomes $x + 311=360$.

Step4: Solve for x

Subtract 311 from both sides: $x=360 - 311$.
$x = 49$.

Answer:

$49$