Vertical angles
Vertical angles are a type of angle formed by two intersecting lines
Vertical angles are a type of angle formed by two intersecting lines. When two lines intersect, they form four angles at the point of intersection. The angles that are opposite each other and share a common vertex are known as vertical angles. In other words, vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Properties of Vertical Angles:
1. Vertical angles are congruent: This means that the measures of vertical angles are always equal. For example, if one vertical angle measures 60 degrees, then the other vertical angle will also measure 60 degrees.
2. Vertical angles are formed by intersecting lines: The lines must intersect for vertical angles to be formed. If the lines are parallel and do not intersect, then vertical angles do not exist.
3. Vertical angles do not have a specific position: Unlike adjacent angles, which are next to each other, vertical angles are opposite each other. They can be in any position relative to each other as long as they are formed by intersecting lines.
4. Vertical angles are always supplementary: This means that the sum of the measures of two vertical angles is always 180 degrees. For example, if one vertical angle measures 40 degrees, then the other vertical angle will measure 140 degrees, because 40 + 140 = 180.
5. Vertical angles form a linear pair: A linear pair is formed by two adjacent angles whose measures add up to 180 degrees. Since vertical angles are always supplementary, they will always form a linear pair.
Understanding and recognizing vertical angles is important in various mathematical applications, such as solving equations, proving theorems, and working with geometric shapes. Remembering the properties of vertical angles will help in accurately identifying and working with these types of angles.
More Answers:
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