Angle Types Notes and Worksheets - Lindsay Bowden - Free Printable

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.

Image shows a straight line with a semicircle arc.
→ This is a straight angle.
✔ Answer: Straight angle

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2.

Angle = 29°
→ Less than 90° → Acute angle
✔ Answer: Acute angle

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3.

There is a square symbol at the vertex → indicates 90°
→ Right angle
✔ Answer: Right angle

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4.

Angle = 10°
→ Less than 90° → Acute angle
✔ Answer: Acute angle

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5.

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

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6.

The angle shown is greater than 180°, but less than 360° (it's a reflex angle).
→ Reflex angle
✔ Answer: Reflex angle

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7.

Angle = 91°
→ Greater than 90°, less than 180° → Obtuse angle
✔ Answer: Obtuse angle

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8.

A full circle with a line through it → represents 360°
→ Full rotation or Complete angle
✔ Answer: Full rotation (or Complete angle)

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9.

Angle = 85°
→ Less than 90° → Acute angle
✔ Answer: Acute angle

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10.

Angle = 180° → A straight line
→ Straight angle
✔ Answer: Straight angle

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11.

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

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12.

Two arrows pointing in opposite directions (up and down) forming a straight line → 180°
→ Straight angle
✔ Answer: Straight angle

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13.

Angle = 239°
→ Greater than 180°, less than 360° → Reflex angle
✔ Answer: Reflex angle

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14.

A complete circle → 360°
→ Full rotation
✔ Answer: Full rotation (or Complete angle)

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15.

Angle = 90°, with a square symbol → Right angle
✔ Answer: 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 Types:

- Acute angles: 2, 4, 9
- Right angles: 3, 15
- Obtuse angles: 5, 7, 11
- Straight angles: 1, 10, 12
- Reflex angles: 6, 13
- Full rotations: 8, 14

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