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If two angles are complementary, what is their combined measure?

  1. 45 degrees

  2. 90 degrees

  3. 180 degrees

  4. 360 degrees

The correct answer is: 90 degrees

The correct answer is 90 degrees because complementary angles are defined as two angles whose measures add up to exactly 90 degrees. This relationship is a fundamental principle in geometry. For instance, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, as 30 + 60 = 90. This property is essential in various applications, such as in right triangles where the two non-right angles are always complementary. The other options—45 degrees, 180 degrees, and 360 degrees—do not reflect the definition of complementary angles and do not apply to the concept being addressed in the question.