Let's solve each problem step by step. The key concept here is
supplementary angles.
🔷 What are Supplementary Angles?
Two angles are
supplementary if they add up to
180 degrees.
This means:
> $ x + \text{given angle} = 180^\circ $
So, to find $ x $, we subtract the given angle from 180°:
> $ x = 180^\circ - \text{given angle} $
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Now let’s go through each problem:
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1.
Given: 80°
$ x = 180 - 80 = 100^\circ $
✔ (Already solved)
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2.
Given: 25°
$ x = 180 - 25 = 155^\circ $
✔ Answer: $ x = 155 $
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3.
Given: 48°
$ x = 180 - 48 = 132^\circ $
✔ Answer: $ x = 132 $
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4.
Given: 150°
$ x = 180 - 150 = 30^\circ $
✔ Answer: $ x = 30 $
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5.
Given: 145°
$ x = 180 - 145 = 35^\circ $
✔ Answer: $ x = 35 $
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6.
Given: 90°
$ x = 180 - 90 = 90^\circ $
✔ Answer: $ x = 90 $
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7.
Given: 75°
$ x = 180 - 75 = 105^\circ $
✔ Answer: $ x = 105 $
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8.
Given: 130°
$ x = 180 - 130 = 50^\circ $
✔ Answer: $ x = 50 $
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✔ Final Answers:
| Problem | $ x $ |
|--------|--------|
| 1 | 100 |
| 2 | 155 |
| 3 | 132 |
| 4 | 30 |
| 5 | 35 |
| 6 | 90 |
| 7 | 105 |
| 8 | 50 |
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📝 Summary:
All these problems involve
linear pairs of angles — two adjacent angles that form a straight line. Since a straight line measures 180°, the two angles must be supplementary.
Just remember:
> $ x = 180^\circ - \text{known angle} $
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of complementary angle worksheet.
