Linear Pair

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A linear pair in geometry is a set of adjacent angles whose opposing rays constitute their non-common sides. When two angles are linearly adjoining, they are always supplementary, which implies that their total sum is 180 degrees.

Many different types of figures, like triangles, quadrilaterals, and other polygons, can be found in linear pairs. For instance, because a triangle's sides are opposite rays, its three angles are always a linear pair.

Linear pairs have several vital properties:

  • They are supplementary. As was previously mentioned, the sum of the two angles in a linear pair always sums up to 180 degrees.
  • They intersect at a right angle. A straight angle, or an angle that measures 180 degrees, is created when two angles in a linear pair are combined. measures 180 degrees.
  • They are complementary. The two angles in a linear pair always have complementary measures, which means that one angle's measure is equal to 180 degrees less than the other angle's measure.

In geometry, linear pairs are quite often used to indicate similarity or congruity between two figures or to find missing angle measures. They play a significant role in practical applications as well, such as construction and engineering, in which structures are designed and built.

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