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 know three angles are $125^{\circ}$, $116^{\circ}$, and $75^{\circ}$, and the fourth is $x^{\circ}$. So, $125 + 116+75 + x=360$.

Step3: Simplify the left - hand side

$125+116 + 75=316$, so the equation becomes $316+x = 360$.

Step4: Solve for x

Subtract 316 from both sides: $x=360 - 316$.
$x = 44$.

Answer:

$44$