https://file.aiquickdraw.com/mathbot/file/17274968602631qvmnu9g.jpg

The given image describes two angles forming a linear pair at point \( F \). The angle \( \angle EFG \) is 125°. Since the angles form a linear pair, the sum of these two angles must be 180° (because a linear pair of angles are supplementary).

Thus, the measure of angle \( \angle GFH \) can be found using the equation:

\[
\angle EFG + \angle GFH = 180°
\]

Substituting the value of \( \angle EFG \):

\[
125° + \angle GFH = 180°
\]

Solving for \( \angle GFH \):

\[
\angle GFH = 180° - 125° = 55°
\]

So, the measure of \( \angle GFH \) is **55°**.

Would you like more details or have any questions?

Here are some related questions to expand on this concept:
1. What are complementary angles, and how do they differ from supplementary angles?
2. Can two obtuse angles form a linear pair? Why or why not?
3. How do you determine the measure of an angle if given its complementary angle?
4. What is the relationship between vertical angles and linear pairs?
5. How can you use algebra to solve for unknown angles in more complex linear pair situations?

**Tip:** Always remember that angles in a linear pair add up to 180°, making them supplementary.

The angles below form a linear pair. What is the measure of angle GFH?

In this problem, you will learn how to calculate the measure of angle GFH using the Linear Pair Theorem. The sum of angles EFG and GFH is 180°, making them supplementary. This solution is suitable for students in Grades 6-8.

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