Let's solve each problem step by step to find the value of angle
A in each set of
supplementary angles.
🔹 What are Supplementary Angles?
Two angles are
supplementary if their measures add up to
180°.
So, if one angle is given, we can find the other using:
>
A = 180° − Given Angle
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✔ Problem Solutions:
####
1)
Given: 60°
A = 180° − 60° =
120°
✔ Answer:
120°
---
####
2)
Given: 150°
A = 180° − 150° =
30°
✔ Answer:
30°
---
####
3)
Given: 141°
A = 180° − 141° =
39°
✔ Answer:
39°
---
####
4)
Given: 72°
A = 180° − 72° =
108°
✔ Answer:
108°
---
####
5)
Given: 153°
A = 180° − 153° =
27°
✔ Answer:
27°
---
####
6)
Given: 45°
A = 180° − 45° =
135°
✔ Answer:
135°
---
####
7)
Given: 50°
A = 180° − 50° =
130°
✔ Answer:
130°
---
####
8)
Given: 100°
A = 180° − 100° =
80°
✔ Answer:
80°
---
####
9)
Given: 158°
A = 180° − 158° =
22°
✔ Answer:
22°
---
####
10)
Given: 98°
A = 180° − 98° =
82°
✔ Answer:
82°
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🟩 Final Answers (Matched with Answer Key):
| Problem | A |
|--------|----|
| 1 | 120° |
| 2 | 30° |
| 3 | 39° |
| 4 | 108° |
| 5 | 27° |
| 6 | 135° |
| 7 | 130° |
| 8 | 80° |
| 9 | 22° |
| 10 | 82° |
✔ All answers match the provided
Answer Key.
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💡 Summary:
To find a missing supplementary angle:
>
Subtract the given angle from 180°
This works because supplementary angles form a straight line (180°).
Let me know if you'd like a visual explanation or printable version!
Parent Tip: Review the logic above to help your child master the concept of supplementary angles work sheet.
