Chart illustrating the four main types of angles—acute, right, obtuse, and reflex—with their degree ranges and visual representations.

The image you've uploaded is a table that categorizes different types of angles based on their measure in degrees, along with a description and a diagram for each type. Let's go through the table and explain each entry clearly.

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🔷 1. Acute Angle

- Description: $ 0^\circ \leq x^\circ < 90^\circ $
- Diagram: A small angle between two lines, labeled $ x $, opening less than a right angle.
- Explanation: An acute angle is any angle that is greater than or equal to 0 degrees but less than 90 degrees. Examples: $ 30^\circ, 45^\circ, 89^\circ $

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🔷 2. Right Angle

- Description: $ 90^\circ $
- Diagram: Two perpendicular lines forming an "L" shape, with a small square at the vertex indicating the right angle.
- Explanation: A right angle is exactly 90 degrees. It’s one-quarter of a full rotation and is commonly seen in squares and rectangles.

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🔷 3. Obtuse Angle

- Description: $ 90^\circ < x^\circ \leq 180^\circ $
- Diagram: A wide angle, larger than a right angle but less than a straight line, labeled $ x $.
- Explanation: An obtuse angle is greater than 90 degrees but less than or equal to 180 degrees. Examples: $ 100^\circ, 135^\circ, 179^\circ $

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🔷 4. Reflex Angle

- Description: $ 180^\circ < x^\circ \leq 360^\circ $
- Diagram: A large angle that wraps around more than half a circle, shown as a curved arrow around the vertex, labeled $ x $.
- Explanation: A reflex angle is greater than 180 degrees but less than or equal to 360 degrees. It's the "outside" part of an angle when measured the long way around the circle. Example: $ 270^\circ $

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✔ Summary Table

| Type of Angle | Degree Range | Diagram Description |
|------------------|------------------------|----------------------------------|
| Acute angle | $ 0^\circ \leq x < 90^\circ $ | Small angle (< 90°) |
| Right angle | $ x = 90^\circ $ | L-shaped with a square corner |
| Obtuse angle | $ 90^\circ < x \leq 180^\circ $ | Wide angle (> 90° but ≤ 180°) |
| Reflex angle | $ 180^\circ < x \leq 360^\circ $ | Large angle wrapping around (> 180°) |

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🔄 Additional Notes:

- The sum of angles around a point is $ 360^\circ $.
- A straight angle (not listed here) is exactly $ 180^\circ $, which lies between obtuse and reflex angles.
- These classifications help in geometry, trigonometry, and real-world applications like engineering and design.

Let me know if you'd like to identify a specific angle or solve a problem using this information!