The image shows a geometry problem where two angles, $2x$ and $3x$, are formed by two intersecting lines, and they add up to a right angle.

In a right angle, the sum of the angles is $90^\circ$. Therefore, the equation to solve for $x$ is:

$2x + 3x = 90^\circ$

Simplify and solve for $x$:

$5x = 90^\circ$

$x = \frac{90^\circ}{5} = 18^\circ$

Thus, the value of $x$ is $18^\circ$.

Would you like more details, or do you have any questions?

Related Questions:

1. How would the value of $x$ change if the angles were complementary instead of a right angle?
2. What is the measure of the angles $2x$ and $3x$ when $x = 18^\circ$?
3. How would you solve this problem if the sum of the angles was $180^\circ$ instead of $90^\circ$?
4. Can this problem be solved using trigonometric identities?
5. How does understanding this problem help in solving other types of geometric problems?

Tip:

When dealing with angles formed by intersecting lines, always check if they add up to specific angle sums like $90^\circ$, $180^\circ$, or $360^\circ$.