Let's solve the problem step by step.
🔷 Understanding Complementary Angles
Two angles are
complementary if their measures add up to
90 degrees.
So, if one angle is given, the other complementary angle can be found using:
>
Complementary Angle = 90° − Given Angle
We’ll apply this formula to each part of the worksheet.
---
✔ Solving Each Part
#### a. ∠ABC = ?
Given: One angle is
37°, and it forms a right angle (90°) with ∠ABC.
So:
> ∠ABC = 90° − 37° =
53°
✔ Answer: 53°
---
#### b. ∠FGH = ?
Given: One angle is
28°
> ∠FGH = 90° − 28° =
62°
✔ Answer: 62°
---
#### c. ∠LJK = ?
Given: One angle is
52°
> ∠LJK = 90° − 52° =
38°
✔ Answer: 38°
---
#### d. ∠NMP = ?
Given: One angle is
46°
> ∠NMP = 90° − 46° =
44°
✔ Answer: 44°
---
#### e. ∠MRS = ?
Given: One angle is
70°
> ∠MRS = 90° − 70° =
20°
✔ Answer: 20°
---
#### f. ∠VWU = ?
Given: One angle is
54°
> ∠VWU = 90° − 54° =
36°
✔ Answer: 36°
---
#### g. ∠KLN = ?
Given: One angle is
15°
> ∠KLN = 90° − 15° =
75°
✔ Answer: 75°
---
#### h. ∠RQS = ?
Given: One angle is
60°
> ∠RQS = 90° − 60° =
30°
✔ Answer: 30°
---
#### i. ∠DCA = ?
Given: One angle is
43°
> ∠DCA = 90° − 43° =
47°
✔ Answer: 47°
---
#### j. ∠XZY = ?
Given: One angle is
25°
> ∠XZY = 90° − 25° =
65°
✔ Answer: 65°
---
#### k. ∠ABG = ?
Given: One angle is
31°
> ∠ABG = 90° − 31° =
59°
✔ Answer: 59°
---
#### l. ∠YLI = ?
Given: One angle is
68°
> ∠YLI = 90° − 68° =
22°
✔ Answer: 22°
---
✔ Final Answers:
| Letter | Angle | Measure |
|--------|--------------|---------|
| a | ∠ABC | 53° |
| b | ∠FGH | 62° |
| c | ∠LJK | 38° |
| d | ∠NMP | 44° |
| e | ∠MRS | 20° |
| f | ∠VWU | 36° |
| g | ∠KLN | 75° |
| h | ∠RQS | 30° |
| i | ∠DCA | 47° |
| j | ∠XZY | 65° |
| k | ∠ABG | 59° |
| l | ∠YLI | 22° |
---
📝 Summary
All these angles are
complementary, meaning they form a
right angle (90°) when added together. We simply subtracted each given angle from 90° to find its complement.
Let me know if you'd like a printable version or explanation for any specific diagram!
Parent Tip: Review the logic above to help your child master the concept of supplementary angle worksheet.
