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To determine which angle in triangle \( \triangle DEF \) has the largest measure, we can use the property of triangles that states:

**In a triangle, the largest angle is opposite the longest side.**

From the diagram:
- Side \( DF \) has a length of 6,
- Side \( EF \) has a length of 7,
- Side \( DE \) has a length of 11.

Since \( DE = 11 \) is the longest side, the angle opposite this side is \( \angle F \).

Therefore, **\( \angle F \)** is the largest angle in triangle \( DEF \).

The correct answer is **C. \( \angle F \)**.

Would you like further clarification or have any questions?

Here are 5 related questions:
1. How can the Law of Cosines be used to find specific angles in a triangle?
2. What are the other properties of a triangle related to angle and side measures?
3. How do the angles of a triangle sum up, and how is this fact used in problems?
4. Can we determine specific angle measures without using side lengths?
5. What is the relationship between an equilateral triangle’s sides and angles?

**Tip:** In any triangle, the angle opposite the longest side will always be the largest.

Which angle in triangle DEF has the largest measure? Given that side DF = 6, side EF = 7, and side DE = 11.

In this triangle DEF problem, find out which angle is the largest by analyzing the side lengths. With sides DF = 6, EF = 7, and DE = 11, learn how to apply triangle properties to solve the problem. Perfect for students in Grades 6-8.

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