Vertical angle form when two lines intersect one another at a certain point. They always match the other. That is, when two lines intersect or cross one another, four angles are created. We can see the two angles opposite to one another are the same and are referred to as vertical angles. They are also known as ‘Vertically different angles’ because they are in opposition to one another.
What are Vertical Angles?
When two lines meet and four angle are created. There are two angles that are non-adjacent. They are known as vertical angles. In the picture in the following image, parallel angles are two pairs of vertical angle.
Related: You can also find the value of x vertical angles calculator online for the calculation of these type of angles.
Vertical Angles Definition
Vertical angles are non-adjacent angles that are formed at the junction of straight lines. In simple terms, the vertical angles are situated between each other in their corners in the “X” formed by two straight lines. They are also referred to as the vertically opposite angles because they are opposite each other.
Vertical Angle Theorem
The perpendicular angle theorem or the perpendicular angle theorem states that the two opposite angles formed when two lines intersect are always congruent. Let’s get acquainted with the vertical angle theorem and its proof in detail.
Statement: Vertical angle (the opposite angles that are formed when two lines intersect each other) are congruent.
Finding a missing Angle Measure
Consider we have a given one angle form vertical angles i.e. A = 60. We can find the missing angles by using the given data.
Since the formula for angles measurements are as follow:
360 = A+B+C+D
Also, according to the definition of vertical angle,
A = 60 means B = 60
Now using this information,
360 = 60+60+C+D
240 = C+D
C=D= 240/2 =120
In this way we can find any angle by using the given information of vertex.
Related: Also Find the Difference between Permutation and Combination on Articles Hero.