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Complementary Angles (A) Answers worksheet showing six diagrams with given angles and instructions to find the missing complementary angle.

Six diagrams showing complementary angles with one angle given and the other to be calculated, each with a right angle at point D and rays forming angles with the horizontal line DF.

Six diagrams showing complementary angles with one angle given and the other to be calculated, each with a right angle at point D and rays forming angles with the horizontal line DF.

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Show Answer Key & Explanations Step-by-step solution for: Complementary Angles (A)
Actually, this image already shows the *answers* — it’s titled “Complementary Angles (A) Answers”.

So you’re not being asked to solve a problem — you’re looking at the solution key.

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🔍 Let’s explain what’s going on:



The instructions say:
> “Identify the missing angle measurement in each set of complementary angles.”

Complementary angles are two angles that add up to 90°.

In each diagram:
- There’s a right angle (∠CDF = 90°), formed by rays DC and DF.
- A ray DE splits that right angle into two smaller angles: ∠CDE and ∠EDF.
- One angle is given, and the other is the “missing” angle you’re supposed to find.

Since they’re complementary:
> Missing angle = 90° – Given angle

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Let’s verify one example:



Top left diagram:
- Given: ∠CDE = 68°
- Missing: ∠EDF = ?
- Calculation: 90° – 68° = 22° → ✔️ Matches the answer shown.

Top right diagram:
- Given: ∠CDE = 53°
- Missing: ∠EDF = 90° – 53° = 37° → ✔️ Correct.

Bottom right diagram:
- Given: ∠CDE = 17°
- Missing: ∠EDF = 90° – 17° = 73° → ✔️ Correct.

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📌 Summary:



You’ve uploaded the answer sheet, not the worksheet. Each pair of angles adds to 90°, so to find the missing angle, subtract the given angle from 90°.

If you were meant to *solve* this, you’d do:

> Missing Angle = 90° – Given Angle

All answers shown in the image are correct.

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So the “solution” is:
Each missing angle is 90° minus the labeled angle — and all answers provided in the image are mathematically correct.

Let me know if you want the *blank worksheet version* or need help creating similar problems!
Parent Tip: Review the logic above to help your child master the concept of complimentary angles worksheet.
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