https://file.aiquickdraw.com/mathbot/file/1729197334060pfg07hqo.jpg

Let's analyze the problem from the image.

We are given a right triangle with two angles:

- One angle is \(59^\circ\).
- The other non-right angle is labeled \(x^\circ\).

Since this is a **right triangle**, the sum of all angles must be \(180^\circ\). One of the angles is a right angle (which is \(90^\circ\)). Hence, we can set up the equation for the sum of the angles:

\[
x + 59^\circ + 90^\circ = 180^\circ
\]

### Solving for \(x\):
\[
x + 149^\circ = 180^\circ
\]
\[
x = 180^\circ - 149^\circ
\]
\[
x = 31^\circ
\]

### Final Answer:
\[
x = 31^\circ
\]

Let me know if you have any questions or need further clarifications!

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**Related Questions:**
1. How do you find the unknown angle in a right triangle?
2. Why do the angles of any triangle always sum to \(180^\circ\)?
3. What are complementary angles, and how are they relevant to right triangles?
4. How do trigonometric functions like sine or cosine relate to the angles in right triangles?
5. What is the difference between an acute, obtuse, and right angle?

**Tip:** Always double-check the known and unknown values when setting up your equations to avoid small arithmetic mistakes.

Find the value of x in a right triangle where one angle is 59°, and the unknown angle is x.

Learn how to find the missing angle x in a right triangle with a given angle of 59°. Using the angle sum property, we calculate the value of x as 31°. Suitable for Grades 6-8.

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