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Example: Complementary and Supplementary Angles

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Supplementary angles


A pair of Supplementary angles


Supplementary angles are pairs of angles that add up to 180 degrees. (Our solved example in mathguru.com uses this concept)

If the two supplementary angles are adjacent (i.e. have a common vertex and share just one side), their non-shared sides form a line. The supplement of an angle of 135 degrees is an angle of 45 degrees. The supplement of an angle of x degrees is an angle of (180 − x) degrees. Supplementary angles do not have to be on the same line, and can be separated in space. For example, adjacent angles of a parallelogram are supplementary.




Vertical angles

Two lines intersect to create two pairs of vertical angles. One pair consists of angles A and B; the second pair consists of angles C and D.

In geometry, a pair of angles is said to be vertical (also opposite and vertically opposite, which is abbreviated as vert. opp. s) if the angles are formed from two intersecting lines and the angles are not adjacent. They all share a vertex. Such angles are equal in measure and can be described as congruent. (Our solved example in mathguru.com uses this concept)




The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.