This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
A.
Step 1: Understand the definition of complementary angles. Two angles are complementary if their sum is . Let the unknown angle be .
Step 2: Set up the equation and solve for . The measure of the other angle is .
Step 3: Compare the result with the given options. The calculated angle is , which corresponds to option A.
The final answer is .
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A. 55^ Step 1: Understand the definition of complementary angles.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.