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The given figure shows two angles, \(x\) and \(y\), where the angle of 25° is clearly labeled. Angle \(x\) and angle \(y\) form a straight line, meaning their sum must be 180° due to the property of supplementary angles.

From the diagram:
- The sum of \(x + y + 25^\circ\) equals 180° because they form a straight line.

We can set up the equation:
\[
x + y + 25^\circ = 180^\circ
\]
Now, subtract 25° from both sides:
\[
x + y = 180^\circ - 25^\circ = 155^\circ
\]

Thus, the value of \(x + y\) is \( \boxed{155^\circ} \).

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

Here are 5 related questions:
1. What are supplementary angles and how do they relate to this problem?
2. Why do the angles on a straight line add up to 180°?
3. How would you solve this problem if the figure was more complex?
4. Can you explain what vertical angles are and how they apply here?
5. How could you determine angle \(x\) if angle \(y\) was given directly?

**Tip**: Always remember that the sum of angles on a straight line is 180°, which is very helpful for solving geometry problems involving lines and angles!

In the given figure, what is the value of x + y?

Learn how to find the value of x + y in a geometry problem using supplementary angles on a straight line. This problem involves key concepts of angles and lines and provides a detailed solution. Suitable for students in Grades 8-10.

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