Let’s solve each problem one by one. We’ll use the rules given at the top:
- Right angle = 90°
- Full rotation (around a point) = 360°
- Triangle angles add up to 180°
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Problem 1:
We see a full circle with one part labeled 300°, and the missing angle is α.
Since a full circle is 360°, we subtract:
α = 360° - 300° =
60°
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Problem 2:
This is a triangle with two angles given: 80° and 50°.
Triangle angles add to 180°, so:
α = 180° - 80° - 50° =
50°
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Problem 3:
Again, a full circle — one part is 240°, so:
α = 360° - 240° =
120°
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Problem 4:
Right triangle! One angle is 90° (the square corner), another is 60°.
So:
α = 180° - 90° - 60° =
30°
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Problem 5:
Full circle again — one part is 50°, so:
α = 360° - 50° =
310°
Wait — let’s double-check. The diagram shows the small angle is 50°, and α is the big reflex angle around it. Yes, that’s correct: 360° - 50° = 310°.
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Problem 6:
Triangle with angles 70° and 60°.
α = 180° - 70° - 60° =
50°
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Problem 7:
Full circle — one part is 210°, so:
α = 360° - 210° =
150°
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Problem 8:
Triangle with angles 80° and 40°.
α = 180° - 80° - 40° =
60°
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✔ All answers checked!
Final Answer:
1. 60°
2. 50°
3. 120°
4. 30°
5. 310°
6. 50°
7. 150°
8. 60°
Parent Tip: Review the logic above to help your child master the concept of angle of rotation worksheet.
