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The question asks for an angle that is supplementary to \(\angle EGF\).

- \(\angle EGF\) is the angle formed by the lines \(EG\) and \(FG\), so this is the angle at point \(G\) between the lines \(E\) and \(F\).
- Two angles are supplementary if their measures add up to 180 degrees.
- From the diagram, we can see that \(\angle EGF\) and \(\angle BGF\) form a straight line, meaning they are adjacent and supplementary.

Thus, the angle that is supplementary to \(\angle EGF\) is \(\angle BGF\).

Do you want more details on supplementary angles, or have any other questions? Here are 5 related questions:

1. What is a complementary angle to \(\angle EGF\)?
2. How do you find vertical angles in this diagram?
3. What is the sum of all angles around point \(G\)?
4. How do you identify adjacent angles in this diagram?
5. What is the measure of \(\angle BGF\) if \(\angle EGF\) is 70°?

**Tip:** Supplementary angles always form a straight line or 180°.

What is an angle that is supplementary to ∠EGF?

Learn how to identify the angle that is supplementary to ∠EGF in this geometry problem. Understand the concept of supplementary angles, adjacent angles, and how they add up to 180 degrees. Suitable for students in Grades 6-8.

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