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Encyclopedia > Complementary angles
A pair of complementary angles, because they add up to 90 degrees.
A pair of complementary angles, because they add up to 90 degrees.

A pair of angles is complementary if the sum of their measures add up to 90 degrees. Image File history File links No higher resolution available. ... Image File history File links No higher resolution available. ... This article is about angles in geometry. ... This article describes the unit of angle. ...


If the two complementary angles are adjacent (i.e. have a common vertex and share a side, but do not have any interior points in common) their non-shared sides form a right angle. This article is about angles in geometry. ...


In Euclidean geometry, the two acute angles in a right triangle are complementary, because there are 180° in a triangle and 90° have been accounted for by the right angle. Euclid Euclidean geometry is a mathematical system attributed to the Greek mathematician [[Euclid]] of Alexandria. ... This article is about angles in geometry. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ...


The adjective "complementary" comes from the Latin complementum, which derives from the fourth form of the Latin verb complere, i.e. completum for "having been filled up". An acute angle is filled up by its complement to form a right angle, which is the most basic kind of angle, because it can be constructed by drawing the angle bisector of a line. A right angle is a complete (full) angle. For other uses, see Latin (disambiguation). ...


See also

Look up supplementary in Wiktionary, the free dictionary. ... This article is about angles in geometry. ... A triangle. ...

External links

Look up complementary in Wiktionary, the free dictionary.
  • Animated demonstration - Interactive applet and explanation of the characteristics of complementary angles.

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