Group 1: angle 1, angle 2, angle 3 and angle 4,
Group 2: angle 5, angle 6, angle 7 and angle 8,
Here angle 1 and angle 6, angle 2 and angle 7, angle 3 and angle 8, angle 4 and angle 5 are vertical angles. Now we discuss how to solve vertical angle problems:
We use following steps for solution of alternate angles–
Step 1: First of all, we calculate one angle from two vertical angles like we have two vertical angles – angle ‘m’ and angle ‘n’, and value of angle m is 60 degree and value of angle ‘n’ is x – 60 degree.
Step 2: After evaluation of one angle, now we equal both vertical angle with each other because by Geometry property, both angles are equal to each other.
Angle m = angle n,
= > 60 degree = x - 60,
= > x = 60 degree + 60 degree,
= > x = 120 degree,
So, other vertical angle from two vertical angles, whose first angle is 60 degree is 120 degree – 60 degree = ‘60 degree’.
Therefore we use above 2 steps for evaluation of vertical angles like we have one vertical angle is equal to 45 degree, then other vertical angle is also equal to 45 degree by above property.
Vertical Angle 1 = vertical angle 2 = 45 degree,
So, other vertical angle from two vertical angles, whose first angle is 45 degree, is 45 degree because the values of vertical angle are equal to each other.