To solve this question, it is good to have an idea of vertical and supplementary angles. Let's solve this by the definition of vertical angles.
Vertical angle:
When two lines cross each other, the opposite angles formed are called the vertical angles.
Hence,
angle 1 = angle 3
angle 2 = angle 4
Now, angle1 = 96 => angle3 = 96
The second definition is: The sum of all angles in a circle is 360.
Hence,
Angle1 + angle2 + angle3 + angle4 = 360
Let's say angle2 and angle4 = x (as both angles are equal)
96 + x + 96 + x = 360
2x + 192 = 360
2x = 360 - 192
2x = 168
x = 168/2
x = 84
Hence, angle 2 and angle 4 are 84.
Simply,
Angle1 = 96
Angle2 = 84
Angle3 = 96
Angle4 = 84
