Complementary, Supplementary, Vertical Angle Worksheets - Free Printable

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.

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✔ 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°

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#### b. ∠FGH = ?
Given: One angle is 28°
> ∠FGH = 90° − 28° = 62°

✔ Answer: 62°

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#### c. ∠JLK = ?
Given: One angle is 52°
> ∠JLK = 90° − 52° = 38°

✔ Answer: 38°

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#### d. ∠MNP = ?
Given: One angle is 46°
> ∠MNP = 90° − 46° = 44°

✔ Answer: 44°

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#### e. ∠PRS = ?
Given: One angle is 70°
> ∠PRS = 90° − 70° = 20°

✔ Answer: 20°

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#### f. ∠UVW = ?
Given: One angle is 64°
> ∠UVW = 90° − 64° = 26°

✔ Answer: 26°

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#### g. ∠KLN = ?
Given: One angle is 15°
> ∠KLN = 90° − 15° = 75°

✔ Answer: 75°

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#### h. ∠RQS = ?
Given: One angle is 60°
> ∠RQS = 90° − 60° = 30°

✔ Answer: 30°

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#### i. ∠DCA = ?
Given: One angle is 43°
> ∠DCA = 90° − 43° = 47°

✔ Answer: 47°

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#### j. ∠XZY = ?
Given: One angle is 20°
> ∠XZY = 90° − 20° = 70°

✔ Answer: 70°

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#### k. ∠ABQ = ?
Given: One angle is 31°
> ∠ABQ = 90° − 31° = 59°

✔ Answer: 59°

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#### l. ∠VTS = ?
Given: One angle is 68°
> ∠VTS = 90° − 68° = 22°

✔ Answer: 22°

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✔ Final Answers Summary:

| Letter | Angle | Measure |
|--------|-------------|---------|
| a | ∠ABC | 53° |
| b | ∠FGH | 62° |
| c | ∠JLK | 38° |
| d | ∠MNP | 44° |
| e | ∠PRS | 20° |
| f | ∠UVW | 26° |
| g | ∠KLN | 75° |
| h | ∠RQS | 30° |
| i | ∠DCA | 47° |
| j | ∠XZY | 70° |
| k | ∠ABQ | 59° |
| l | ∠VTS | 22° |

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📌 Explanation:

All these problems involve finding the missing angle that, when added to the given angle, makes 90 degrees — the definition of complementary angles. We subtracted the given angle from 90° to get the answer.

✔ All answers are correct and follow the rule:
> If two angles are complementary, their sum is 90°.

Let me know if you'd like a printable version or explanation for any specific diagram!