opposite angles
Opposite angles, also known as vertical angles, are a pair of non-adjacent angles formed by the intersection of two lines
Opposite angles, also known as vertical angles, are a pair of non-adjacent angles formed by the intersection of two lines. Vertical angles are congruent, meaning they have the same measures.
To understand this concept, consider two intersecting lines, say line AB and line CD. The point of intersection is denoted as point E. Now, angle AEC and angle BED are opposite angles or vertical angles. Similarly, angle BEC and angle AED are also opposite angles.
The key property of opposite angles is that their measures are equal. If angle AEC measures 60 degrees, then angle BED will also measure 60 degrees. This equality extends to other opposite angle pairs as well.
Opposite angles are important in geometry and are often used to prove theorems and solve problems involving angles formed by intersecting lines. For example, if you know the measure of one opposite angle, you can use that information to determine the measure of the other opposite angle, as they are equal.
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