What are Vertically Opposite Angles?

The angles opposite to each other when two lines intersect each other are called Vertical Angles. When two lines cross each other, they create four angles. Among these, two pairs of angles are not next to each other, and these pairs are known as vertical angles. In the provided illustration, (∠1, ∠3) and (∠2, ∠4) represent the two sets of vertical angles formed by the intersection of the lines.

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Vertically Opposite Angles

Vertically Opposite Angles, also called Vertical Angles; are angles that stand across from each other when two lines intersect. Imagine two straight lines crossing like a giant letter ‘X.’ The angles formed on opposite sides of this intersection are called vertically opposite angles. These angles share a unique relationship – they are equal to each other. So, if you know the measurement of one vertically opposite angle, you automatically know the size of the other.

In this article, we have covered the concept of vertical angles. such as definition, theorem and proof, properties, formation, and applications of vertical angles.

Table of Content

  • What are Vertically Opposite Angles?
  • Vertically Opposite Angle Theorem
  • Formation of Vertically Opposite Angles
  • Applications of vertically Opposite Angles
  • Solved Examples

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What are Vertically Opposite Angles?

The angles opposite to each other when two lines intersect each other are called Vertical Angles. When two lines cross each other, they create four angles. Among these, two pairs of angles are not next to each other, and these pairs are known as vertical angles. In the provided illustration, (∠1, ∠3) and (∠2, ∠4) represent the two sets of vertical angles formed by the intersection of the lines....

Vertically Opposite Angle Theorem

The Vertical Angles Theorem, also known as the Vertically Opposite Angles Theorem, states that when two lines intersect, the pairs of opposite vertical angles formed are always equal or congruent....

Formation of Vertically Opposite Angles

When two lines intersect, then pairs of opposite angles known as vertical angles are formed. Vertical angles are formed by a pair of non-adjacent angles that are positioned across from each other. This occurs at the point of intersection, and the angles share a common vertex....

Applications of Vertically Opposite Angles

Applications of Vertically Opposite Angles are mentioned below:...

Solved Examples on Vertically Opposite Angles

Following are some solved examples on Vertically Opposite Angles:...

Practice Questions on Vertically Opposite Angles

Q1: In the given figure, if ∠A = 60°, find the measure of its vertically opposite angle....

Vertically Oppoaite Angles – FAQs

What are Vertical Angles?...