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Find the complementary angle of each of ...

Find the complementary angle of each of the following angles:
`28^(@)`

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To find the complementary angle of 28 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the definition of complementary angles**: Complementary angles are two angles whose sum is equal to 90 degrees. 2. **Identify the given angle**: The angle provided in the question is 28 degrees. 3. **Set up the equation**: Let the complementary angle be represented as \( y \). According to the definition, we can write the equation: \[ x + y = 90^\circ \] where \( x \) is the given angle (28 degrees). 4. **Substitute the known value**: Substitute \( x \) with 28 degrees in the equation: \[ 28^\circ + y = 90^\circ \] 5. **Solve for \( y \)**: To find \( y \), subtract 28 degrees from 90 degrees: \[ y = 90^\circ - 28^\circ \] 6. **Calculate the result**: Perform the subtraction: \[ y = 62^\circ \] 7. **Conclusion**: The complementary angle of 28 degrees is 62 degrees. ### Final Answer: The complementary angle of 28 degrees is **62 degrees**.
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