Vertical Angles In Geometry: Their Definitions, Properties, And Applications

vertical angles

A pair of opposite congruent angles formed by intersecting lines

Vertical angles are the pairs of angles that are opposite each other and formed by the intersection of two straight lines, crossing at a common point or vertex. In other words, vertical angles are the angles that lie across from each other when two intersecting lines meet.

Vertical angles are always equal in measure, meaning that they have the same degree measurement. For instance, if one angle of a pair of vertical angles measures 50 degrees, then the other angle measures 50 degrees as well. This is true regardless of the size or shape of the angles involved, as long as they are vertical angles.

Vertical angles are important in geometry since they are used in proofs and problem-solving involving angles and lines. They can also be used to find missing angle measurements. When two intersecting lines are known to form a pair of vertical angles, the measurement of one of the angles can be used to determine the measure of the other angle.

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