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 $50^{\circ}+85^{\circ}+118^{\circ}+x^{\circ}=360^{\circ}$.

Step3: Simplify the left - hand side

$50 + 85+118+x=360$, so $253 + x=360$.

Step4: Solve for x

$x=360 - 253$.
$x = 107$.

Answer:

$107$