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The image shows a right triangle with two angles labeled as 25° and 55°, with an unknown angle labeled as \( x^\circ \). This configuration allows us to solve for \( x \) using basic properties of angles in a triangle.

### Steps to find \( x \):
1. **Right Triangle Angle Sum Property**: The sum of angles in any triangle is always \( 180^\circ \), and since this is a right triangle, one of the angles is \( 90^\circ \).

2. **Sum of Remaining Angles**: The other two angles must add up to \( 90^\circ \), because \( 180^\circ - 90^\circ = 90^\circ \).

3. **Given Angles**: One of the angles is \( 25^\circ \) and the other is \( 55^\circ \). These two angles must add up to \( x \).

Now we calculate:

\[
x = 90^\circ - (25^\circ + 55^\circ) 
\]
\[
x = 90^\circ - 80^\circ = 10^\circ
\]

Thus, \( x = 10^\circ \).

Would you like more details or have any questions about this process?

Here are 5 related questions to expand on this:
1. How do you prove the sum of angles in a triangle is always 180°?
2. Can you apply trigonometric ratios (sine, cosine, or tangent) to verify the solution for \( x \)?
3. What happens to angle sums in non-right triangles?
4. How can the Pythagorean theorem help in solving problems involving right triangles?
5. Can this method be extended to obtuse triangles?

**Tip**: Always remember that the sum of angles in any triangle is 180°, and in a right triangle, the two non-right angles must always add up to 90°.

Find the unknown angle x in a right triangle where the other angles are 25° and 55°.

Learn how to find the unknown angle in a right triangle where the other angles are 25° and 55°. This step-by-step solution uses the triangle angle sum property. Suitable for students in Grades 6-8.

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