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Math worksheet for calculating angles, including exercises on right angles and straight lines.

Worksheet titled "Calculating Angles" with sections A and B, featuring geometric diagrams and problems to calculate missing angles in right angles and straight lines.

Worksheet titled "Calculating Angles" with sections A and B, featuring geometric diagrams and problems to calculate missing angles in right angles and straight lines.

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Show Answer Key & Explanations Step-by-step solution for: Calculating Angles (A) Worksheet | Fun and Engaging Year 6 PDF ...
Let’s solve each angle step by step. We’ll use two key facts:

- Right angles = 90° → If two angles make a right angle, they add to 90°.
- Straight lines = 180° → Angles on a straight line add up to 180°.

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Section A: Right Angles (add to 90°)



1. a° + 25° = 90°
→ a° = 90 - 25 = 65°

2. b° + 15° = 90°
→ b° = 90 - 15 = 75°

3. c° + 80° = 90°
→ c° = 90 - 80 = 10°

4. d° + 72° = 90°
→ d° = 90 - 72 = 18°

5. e° + 34° = 90°
→ e° = 90 - 34 = 56°

6. f° + 79° = 90°
→ f° = 90 - 79 = 11°

All Section A done.

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Section B: Straight Lines (add to 180°)



7. g° + 45° = 180°
→ g° = 180 - 45 = 135°

8. h° + 128° = 180°
→ h° = 180 - 128 = 52°

9. i° + 104° = 180°
→ i° = 180 - 104 = 76°

10. j° + 71° + 48° = 180°
→ j° = 180 - 71 - 48 = 180 - 119 = 61°

11. k° + 90° + 11° = 180° (right angle is 90°)
→ k° = 180 - 90 - 11 = 90 - 11 = 79°

12. l° + 43° = 180°
→ l° = 180 - 43 = 137°

13. m° + 25° + 78° = 180°
→ m° = 180 - 25 - 78 = 180 - 103 = 77°

14. n° + 90° + 16° = 180° (right angle shown)
→ n° = 180 - 90 - 16 = 90 - 16 = 74°

15. p° + 90° + 66° = 180° (right angle shown)
→ p° = 180 - 90 - 66 = 90 - 66 = 24°

16. q° + q° + q° = 180° → three equal angles on a straight line
→ 3 × q° = 180°
→ q° = 180 ÷ 3 = 60°

All Section B done.

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Final Answer:
a° = 65
b° = 75
c° = 10
d° = 18
e° = 56
f° = 11
g° = 135
h° = 52
i° = 76
j° = 61
k° = 79
l° = 137
m° = 77
n° = 74
p° = 24
q° = 60
Parent Tip: Review the logic above to help your child master the concept of missing angle worksheet.
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