Question

find the value of x in the quadrilateral.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a quadrilateral is $360^{\circ}$. So, $x + 68^{\circ}+117^{\circ}+78^{\circ}=360^{\circ}$.

Step2: Simplify the left - hand side

$x+(68 + 117+78)^{\circ}=360^{\circ}$, and $68 + 117+78 = 263$. So, $x + 263^{\circ}=360^{\circ}$.

Step3: Solve for x

Subtract $263^{\circ}$ from both sides: $x=360^{\circ}-263^{\circ}$.

Answer:

$x = 97^{\circ}$