What is the complementary angle of 55 degree?

2011

What is the complementary angle of 55 degree?

  1. A.

    180 degree

  2. B.

    90 degree

  3. C.

    125 degree

  4. D.

    35 degree

Attempted by 3 students.

Show answer & explanation

Correct answer: D

Two angles are complementary when the sum of their measures equals 90 degrees.

  1. Let the complement of 55 degrees be x. By definition, x + 55 degrees = 90 degrees.

  2. Solve for x: x = 90 degrees minus 55 degrees = 35 degrees.

Check: 35 degrees plus 55 degrees equals 90 degrees, confirming the pair is complementary. By contrast, the supplementary angle of 55 degrees would instead satisfy y + 55 degrees = 180 degrees, giving y = 125 degrees, a different relationship.

Hence, the complementary angle of 55 degrees is 35 degrees.

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