Answer
$x=100$
Work Step by Step
The sum of the four interior angles of a quadrilateral is $360^\circ$.
Thus, the equation needed to find the value of. $x$ is:
$\begin{align*}
x^\circ+85^\circ+115^\circ+60^\circ&=360^\circ\\
x^\circ+260^\circ&=360^\circ\end{align*}$
Solve the equation by subtracting $260^\circ$ from each side:
$\begin{align*}
x^\circ+260^\circ-260^\circ&=360^\circ-260^\circ\\
x^\circ&=100^\circ\\
x&=100
\end{align*}$
The angle is greater than $90$ degrees and the value of $x$ is $100$ so the answer is reasonable.
