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In the image, the marked angle is at point \( P \) (the bottom left corner). To name the marked angle in two different ways, we can use both angle notation and three-letter naming conventions.

1. **First way**: Using the vertex only: The angle is located at point \( P \). Therefore, one way to name the angle is simply \( \angle P \).

2. **Second way**: Using three points: In this triangle, we can use the points around the angle. The angle at \( P \) is formed by the lines \( PS \) and \( PQ \). Therefore, the angle can be named \( \angle SPQ \), where \( P \) is the vertex, and \( S \) and \( Q \) are points on the rays forming the angle.

Would you like further details or explanations?

Here are five related questions:
1. How do you name angles using three points?
2. What is the difference between a reflex angle and an acute angle?
3. How do you measure an angle using a protractor?
4. What is the relationship between the angles in a triangle?
5. How do you find the interior angles of polygons?

**Tip**: Always ensure that when naming angles using three points, the vertex (the corner of the angle) is listed in the middle.

Name the marked angle in 2 different ways.

This geometry problem demonstrates how to name an angle in two different ways. The marked angle in the image is identified using both simple vertex notation and the three-point method. The solution is ideal for students in grades 6-8.

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