Define Vertical Angles

Define Vertical Angles Vertical angles are those angles which are opposite to each other when two lines cross each other. These can be better understood by the following figure:- In the above figure angle 1 and 3 angle 2 and 4 are vertical opposite angles. It is important to note that these angles are always.That is angle 1 = angle 3, and angle 2 = angle 4. This is very important part of the geometry. One can find unknown variable especially unknown angles with this concept knowledge. Example 1:- Find the unknown angle 1 and 3 in the below mentioned figure. Solution: Given One angle is 60 degree and other angle is 120 degrees. We have to find the value of angle 3 and angle 4. For the same we know that vertical opposite angles are equal Since Angle 3 and Angle 120 degrees are vertical opposite angles, so they must be equal. Hence, Angle 3 = 120 degrees. Similarly Angle 4 and 60 degree are vertical opposite angles, so they must be equal. Hence, Angle 4 = 60 degrees In this we have evaluated two unknown angles. Example 2:- Find the unknown angle 1 and 3 in the below mentioned figure. Solution: Given One angle is 80 degree and other angle is 100 degrees. We have to find the value of angle 3 and angle 4 For the same we know that vertical opposite angles are equal Since Angle 3 and Angle 100 degrees are vertical opposite angles, so they must be equal. Hence, Angle 3 = 100 degrees. Similarly Angle 4 and 80 degree are vertical opposite angles, so they must be equal. Hence, Angle 4 = 80 degrees.