Vertical Angles
Opposite angles formed by intersecting lines. Their measures are congruent.
Vertical angles are formed by two intersecting lines or intersecting lines and a transversal. These angles are opposite to each other and are equal in measure.
For example, if line AB intersects line CD at point E, then the angles AEC and BED are vertical angles. This means that AEC and BED are opposite to each other and are equal in measure.
The reason why vertical angles are equal is due to the fact that they are alternate interior angles of parallel lines. When two parallel lines are intersected by a transversal, alternate interior angles are congruent. Since vertical angles share a common vertex, they are also alternate interior angles, and therefore are congruent.
It is important to recognize vertical angles when working with angle relationships, as they can be used to solve for missing angle measures in various geometric problems.
More Answers:
Congruent Alternate Interior Angles In Math: Definition, Properties And ProofCorresponding Angles: Definition, Examples, And Applications For Parallel Lines And Transversals
The Alternate Exterior Angles Theorem: Its Importance In Geometry For Finding Missing Angles And Proving Triangle Congruence.