Definition of vertical angles

Definition of vertical angles Definition of vertical angles is very important to understand in geometry. These are basically those angles which are on other extreme with respect to other angle, like a and b and c and d, it is only when the two lines cross each other. These can be better understood by the following figure: In the above figure angle a and b angle c and d are vertical opposite angles. It is important to note that these angles are always. That is angle a = angle b, and angle c= angle d. Problem 1: Find the unknown angle c and d 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 c and angle d. = For the same we know that vertical opposite angles are equal = Since Angle c and Angle 100 degrees are vertical opposite angles, so they must be equal. = Hence, Angle c = 100 degrees. = Similarly Angle d and 80 degree are vertical opposite angles, so they must be equal. = Hence, Angle d = 80 degrees Problem 2: Find the unknown angle c and d in the below mentioned figure:- Solution: Given One angle is 90 degree and other angle is also 90 degrees. = We have to find the value of angle c and angle d = For the same we know that vertical opposite angles are equal = Since Angle c and Angle 90 degrees are vertical opposite angles, so they must be equal. = Hence, Angle c = 90 degrees. = Similarly Angle d and 90 degree are vertical opposite angles, so they must be equal. = Hence, Angle d = 90 degrees = So, all angles are equal to 90 degrees.