Mathematik Übungen

Linear pair, adjacent and vertical angles

Angle relationships

Two angles are complementary if the sum of their angles equals 90° (right angle).

Two angles are supplementary if the sum of their angles equals 180° (straight line).

Two angles are adjacent when they have a common side and a common vertex and don't overlap (on the picture below it is γ and δ, δ and η, η and α, etc.)

A linear pair is a pair of adjacent angles formed when two lines intersect (they always share the same vertex). The two angles of a linear pair are always supplementary (their sum equals 180°). On the picture below it is only α and β, β and γ.

αβγδη

Vertical angles (or vertically opposite) are the angles opposite each other when two lines cross. They are congruent (of the same measure). On the picture it is only γ and α.


   
   

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