## Vertical angles are…

### Vertical angles are a pair of angles that are opposite each other and created by the intersection of two lines

Vertical angles are a pair of angles that are opposite each other and created by the intersection of two lines. The defining characteristic of vertical angles is that they share the same vertex, but have different rays or sides.

When two lines intersect, they form four angles at the intersection point. The pair of vertical angles are made up of two angles on opposite sides of the intersection. For example, if a line AB intersects with another line CD at a point E, the vertical angles would be angle AEC and angle BED.

Vertical angles are congruent, which means they have the same measure or size. In other words, if angle AEC measures 40 degrees, then angle BED would also measure 40 degrees. The congruence of vertical angles is a result of the properties of intersecting lines and the corresponding angles formed.

Understanding vertical angles is important in geometry as they play a significant role in proving theorems, solving equations, and calculating various geometric properties. For instance, vertical angles are often used in proving that two lines are parallel or proving the equality of angles in geometric figures.

In summary, vertical angles are a pair of opposite angles formed by the intersection of two lines. They share the same vertex and have equal measures, making them congruent.

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Understanding the Angle Bisector Theorem | How BX Divides ∠ABC into Two Equal Angles.