FREE Printable Types Of Angles Worksheets [PDFs] Brighterly - Free Printable

Let's solve the problem step by step.

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Task:

Identify the type of angle formed by the hands of each clock in the worksheet.

We need to determine whether the angle formed by the hour and minute hands on each clock is:
- Acute (less than 90°)
- Right (exactly 90°)
- Obtuse (greater than 90° but less than 180°)
- Straight (exactly 180°)

We'll go through each clock one by one.

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Clock 1:

- Time shown: 3:00
- The hour hand is at 3, minute hand at 12.
- This forms a 90° angle.
- ✔ Right angle

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Clock 2:

- Time shown: 1:45 (or close to 1:45)
- Hour hand is between 1 and 2, minute hand is at 9.
- The angle between 1 and 9 is more than 90° but less than 180°.
- Let’s estimate: from 1 to 9 is 8 hours apart → 8 × 30° = 240°, but we take the smaller angle → 360° - 240° = 120°
- So, 120° is obtuse.
- ✔ Obtuse angle

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Clock 3:

- Time shown: 2:30
- Hour hand is halfway between 2 and 3, minute hand at 6.
- From 2 to 6 is 4 hours → 4 × 30° = 120°, but since hour hand is past 2, it's slightly more than 120°.
- But still less than 180° → Obtuse
- ✔ Obtuse angle

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Clock 4:

- Time shown: 12:30
- Hour hand is halfway between 12 and 1, minute hand at 6.
- Angle from 12 to 6 is 180°, but hour hand is halfway toward 1 → so angle is about 150°.
- Still less than 180° → Obtuse
- ✔ Obtuse angle

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Clock 5:

- Time shown: 1:20
- Hour hand is just past 1, minute hand at 4.
- From 1 to 4 is 3 hours → 3 × 30° = 90°, but hour hand has moved forward.
- Since minute hand is at 4, and hour hand is a bit past 1, the angle is slightly more than 90° → Obtuse
- ✔ Obtuse angle

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Clock 6:

- Time shown: 3:00
- Hour hand at 3, minute hand at 12 → same as Clock 1.
- Forms a 90° angle.
- ✔ Right angle

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Clock 7:

- Time shown: 10:10
- Hour hand is just past 10, minute hand at 2.
- From 10 to 2 is 4 hours → 4 × 30° = 120°, but since both hands are slightly adjusted, angle is around 120° → Obtuse
- ✔ Obtuse angle

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Clock 8:

- Time shown: 6:00
- Hour hand at 6, minute hand at 12.
- This forms a straight line → 180°
- ✔ Straight angle

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Clock 9:

- Time shown: 9:15
- Hour hand is just past 9, minute hand at 3.
- From 9 to 3 is 6 hours → 6 × 30° = 180°, but hour hand is slightly past 9, so the angle is slightly less than 180° → Obtuse
- Wait — actually, from 9 to 3 is 180°, but since hour hand is moving forward, the angle between them is less than 180°, but greater than 90° → Obtuse
- ✔ Obtuse angle

Wait! Let’s double-check:

At 9:15:
- Minute hand at 3 → 90° from 12
- Hour hand: at 9, plus 15 minutes → 15/60 = 1/4 of the way to 10 → 30° × 1/4 = 7.5° past 9
- So hour hand is at 9 × 30 + 7.5 = 277.5° from 12
- Minute hand is at 3 × 30 = 90°
- Difference: |277.5 - 90| = 187.5° → but we take the smaller angle → 360 - 187.5 = 172.5°
- 172.5° is obtuse (since >90° and <180°)

✔ Obtuse angle

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✔ Final Answers:

1) Right
2) Obtuse
3) Obtuse
4) Obtuse
5) Obtuse
6) Right
7) Obtuse
8) Straight
9) Obtuse

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Summary Table:

| Clock | Time | Angle Type |
|-------|----------|--------------|
| 1 | 3:00 | Right |
| 2 | ~1:45 | Obtuse |
| 3 | 2:30 | Obtuse |
| 4 | 12:30 | Obtuse |
| 5 | 1:20 | Obtuse |
| 6 | 3:00 | Right |
| 7 | 10:10 | Obtuse |
| 8 | 6:00 | Straight |
| 9 | 9:15 | Obtuse |

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✔ Answer Key:

1. Right
2. Obtuse
3. Obtuse
4. Obtuse
5. Obtuse
6. Right
7. Obtuse
8. Straight
9. Obtuse

Let me know if you'd like a printable version or explanation for any specific clock!