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Two angles are complementary. If one angle is 35°, what is the measure of the other angle?

Mathematics

ScanSolve AI Answer

Answer

A. 55∘\text{A. } 55^\circ

Step-by-step solution

3 steps

A. 55∘55^\circ

  1. Understand the definition of complementary angles.

    Two angles are complementary if their sum is 90∘90^\circ.
    Let the unknown angle be xx.

  2. Set up the equation and solve for xx.

    35∘+x=90∘35^\circ + x = 90^\circ x=90∘−35∘x = 90^\circ - 35^\circ x=55∘x = 55^\circ

    The measure of the other angle is 55∘55^\circ.

  3. Compare the result with the given options.

    The calculated angle is 55∘55^\circ, which corresponds to option A.

    The final answer is A. 55∘\text{A. } 55^\circ.

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