The given image shows a right triangle with two known angles: one is 59° and the other is 90° (a right angle). We are asked to solve for the third angle, $x$.

In any triangle, the sum of the interior angles is always $180^\circ$. Therefore, we can use the following equation:

$x + 59^\circ + 90^\circ = 180^\circ$

Now, solving for $x$:

$x = 180^\circ - 59^\circ - 90^\circ$ $x = 31^\circ$

Thus, $x = 31^\circ$.

Would you like more details on this? Here are some related questions you might consider:

1. What is the sum of the interior angles of any polygon, and how does this change for different shapes?
2. How can we calculate angles in non-right triangles, such as scalene or obtuse triangles?
3. What are the properties of special triangles like equilateral and isosceles triangles?
4. How does the Pythagorean theorem relate to right triangles like the one in the problem?
5. What is the difference between complementary and supplementary angles?

Tip: Remember that in any right triangle, one of the angles will always be $90^\circ$, so the other two angles must sum to $90^\circ$.