https://file.aiquickdraw.com/mathbot/file/17272031024957o0ig3bh.jpg

In this image, you have two angles on a straight line. The key relationship here is that angles on a straight line are supplementary, meaning their sum is 180°. 

You are given:

- One angle of \( 25^\circ \).
- The unknown angle is marked as \( x^\circ \).

Since the two angles form a linear pair, their sum is:

\[
x^\circ + 25^\circ = 180^\circ
\]

Now, solving for \( x \):

\[
x^\circ = 180^\circ - 25^\circ = 155^\circ
\]

Thus, \( x = 155^\circ \).

Would you like more details or have any questions? Here are some related questions for further practice:

1. What is the name of this angle relationship?
2. How would you calculate \( x \) if the given angle was 45° instead of 25°?
3. Can you identify a situation where two angles add up to 90°?
4. What are vertically opposite angles, and how would they relate to this image?
5. How can you apply the concept of linear pairs in a triangle?

**Tip:** Always remember that angles on a straight line sum up to 180°. This is called the supplementary angle relationship.

Identify the angle relationships in the given diagram where one angle is 25° and the other is x°.

Learn how to solve for the unknown angle x in a diagram where one angle is given as 25°, and the angles form a linear pair on a straight line. Explore the concept of supplementary angles with a detailed step-by-step solution. Suitable for students in Grades 6-8.

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