Vertical Angles
A pair of opposite congruent angles formed by intersecting lines. These are not normally marked for you if triangle meet at a point. Angle E is an example of this.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. These angles are opposite to each other and are always congruent, meaning they have the same measure. This is a fundamental property of vertical angles and can be proven mathematically.
To identify vertical angles, it’s important to remember that they are formed when two lines cross each other. For example, if we have two lines AB and CD intersecting at point E, then the angles AEC and BED would be vertical angles. Similarly, angles AED and BEC would also be vertical angles.
One important theorem related to vertical angles is the Vertical Angles Theorem. This states that if two angles are vertical angles, then they are always congruent. This theorem can be used to solve problems involving vertical angles, such as finding missing angle measures in a diagram.
In summary, vertical angles are pairs of opposite angles that are formed when two lines intersect. They are always congruent and can be used in various mathematical proofs and problem-solving techniques.
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