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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 \(360^\circ\).

Explore how to find the value of x in a geometry problem involving angle sums. Step-by-step solution provided for angles formed by intersecting lines. Suitable for Grades 7-9.

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