Find the value of x in the given hexagon, where some interior angles are provided and others can be deduced.

The given shape has 6 sides, making it a hexagon.

The formula for the sum of interior angles of a polygon with $n$ sides is $(n-2) \times 180^\circ$.
For a hexagon, $n=6$.

• One angle is given as $80^\circ$.
• Two angles are right angles, which are $90^\circ$ each.
• One angle is given as $120^\circ$.
• One angle is $x^\circ$.
• The remaining angle has an exterior angle of $15^\circ$. The interior angle is $180^\circ - 15^\circ = 165^\circ$.

Summing all the interior angles and equating them to the total sum:

Combine the known angles:

Subtract $545^\circ$ from both sides:

The value of $x$ is $\boxed{\text{}175^\circ\text{}}$.