Angle types practice worksheet for identifying acute, right, obtuse, straight, reflex, and full rotation angles.

Let's solve this step by step. The task is to identify the type of angle for each of the 15 given angles.

We'll use the standard classifications of angles based on their measures:

- Acute angle: Less than 90°
- Right angle: Exactly 90°
- Obtuse angle: Greater than 90° but less than 180°
- Straight angle: Exactly 180°
- Reflex angle: Greater than 180° but less than 360°
- Full rotation (or complete angle): Exactly 360°

Now, let’s go through each one:

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1.

- It shows a straight line with a semicircle arc.
- This represents 180°.
- ✔ Straight angle

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2.

- Angle = 29°
- Less than 90° → ✔ Acute angle

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3.

- Has a small square symbol at the vertex → indicates 90°
- ✔ Right angle

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4.

- Angle = 10°
- Less than 90° → ✔ Acute angle

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5.

- Angle = 171°
- Between 90° and 180° → ✔ Obtuse angle

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6.

- The angle shown is greater than 180° (it's the larger part of the angle).
- The smaller angle would be less than 180°, but the arc shows the reflex portion.
- Reflex angle: >180° and <360° → ✔ Reflex angle

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7.

- Angle = 91°
- Greater than 90° but less than 180° → ✔ Obtuse angle

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8.

- A full circle with a ray going through it.
- This represents 360° → ✔ Full rotation (or complete angle)

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9.

- Angle = 85°
- Less than 90° → ✔ Acute angle

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10.

- Angle = 180°
- A straight line → ✔ Straight angle

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11.

- Angle = 108°
- Between 90° and 180° → ✔ Obtuse angle

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12.

- Two rays pointing in opposite directions vertically.
- Forms a straight line → 180°
- ✔ Straight angle

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13.

- Angle = 239°
- Greater than 180° but less than 360° → ✔ Reflex angle

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14.

- A full circle with no ray drawn — just a circle.
- Represents 360° → ✔ Full rotation

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15.

- Angle = 90°, marked with a right-angle symbol
- ✔ Right angle

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Final Answers:

| # | Type of Angle |
|---|---------------------|
| 1 | Straight angle |
| 2 | Acute angle |
| 3 | Right angle |
| 4 | Acute angle |
| 5 | Obtuse angle |
| 6 | Reflex angle |
| 7 | Obtuse angle |
| 8 | Full rotation |
| 9 | Acute angle |
|10 | Straight angle |
|11 | Obtuse angle |
|12 | Straight angle |
|13 | Reflex angle |
|14 | Full rotation |
|15 | Right angle |

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✔ Summary of Common Types:
- Acute: 2, 4, 9
- Right: 3, 15
- Obtuse: 5, 7, 11
- Straight: 1, 10, 12
- Reflex: 6, 13
- Full rotation: 8, 14

Let me know if you'd like this formatted as a printable answer sheet!