Answer
$70$
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:
$\begin{align*}
x^\circ+76^\circ+92^\circ+122^\circ&=360^\circ\\
x^\circ+290^\circ&=360^\circ\end{align*}$
Solve the equation by subtracting $290^\circ$ from each side:
$\begin{align*}
x^\circ+290^\circ-290^\circ&=360^\circ-290^\circ\\
x^\circ&=70^\circ\\
x&=70
\end{align*}$
The angle is acute and the value of $x$ is $70$ so the answer is reasonable.
Using a protractor gives a measurement really close to $70$ degrees.
