https://file.aiquickdraw.com/mathbot/file/1726392190140kxda3cwh.jpg

In this image, we are asked to determine the size of the angle marked as \( n^\circ \) in Figure VI. Here are the relevant details:

- The angle \( n^\circ \) is part of a linear pair with the angle marked as \( 100^\circ \), meaning that the two angles together form a straight line, summing to \( 180^\circ \).
- The adjacent angle on the other side of the figure is \( 64^\circ \).

Let's use this information to solve for \( n^\circ \).

1. Since angles on a straight line sum to \( 180^\circ \), we can calculate \( n^\circ \) using the equation:
   \[
   n^\circ + 100^\circ = 180^\circ
   \]
2. Solving for \( n^\circ \):
   \[
   n^\circ = 180^\circ - 100^\circ = 80^\circ
   \]

Thus, the value of \( n^\circ \) is \( 80^\circ \), but this option isn't directly listed. Upon reviewing the choices, none of them seem to correspond to this answer. However, based on the diagram and labeling, the focus might be misunderstood, and we should recheck what part of the angle is intended for \( n^\circ \).

Please let me know if you'd like further clarification or additional checks on the problem.

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Here are 5 related questions you might explore:
1. What is the sum of angles in a triangle?
2. How do you calculate angles formed by intersecting lines?
3. What are supplementary and complementary angles?
4. How can alternate interior angles help in solving problems?
5. How do you use the exterior angle theorem in triangles?

**Tip:** Always carefully label and check the positioning of angles when solving geometric problems with figures.

Determine the size of the angle marked n° in Figure VI.

This problem involves determining the size of an angle marked n° from a geometric figure. Using the linear pair theorem, we can calculate n° as 80°, understanding supplementary angles and geometry concepts. Perfect for students in Grades 6-8.

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