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Find the size of angle n in this diagram give your answer in degrees

To find the size of angle \( n \) in the diagram, we can use the fact that vertically opposite angles are equal. Let's analyze the given information step by step:

1. The purple angle given is \( 129^\circ \).
2. The blue angle given is \( 51^\circ \).
3. Vertically opposite angles are equal.

### Solution

The sum of the angles on a straight line is \( 180^\circ \). This means that the sum of \( 129^\circ \) and \( n \) should be \( 180^\circ \):

\[
129^\circ + n = 180^\circ
\]

Solve for \( n \):

\[
n = 180^\circ - 129^\circ = 51^\circ
\]

Therefore, the size of angle \( n \) is \( 51^\circ \).

Would you like any additional details or have any questions?

Here are 5 more questions you can ask:
1. How do you find the value of angles in a triangle?
2. What are the properties of vertically opposite angles?
3. How do you solve for angles using the exterior angle theorem?
4. What is the sum of the interior angles of a polygon?
5. How do you find missing angles in parallel lines cut by a transversal?

**Tip:** Remember that vertically opposite angles are always equal, which can simplify solving many geometric problems involving intersecting lines.

Discover how to find the size of angle n in a diagram using the properties of vertically opposite angles and the fact that angles on a straight line sum to 180°. This solution is ideal for students in Grades 6-8.

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