So,
We need to find a pair of vertical and supplementary angles.
For that, first understand the definition of both angles.
Vertical angles: These angles are formed when two lines intersect. Hence, the angle formed opposite to each other, which are equal in length are called vertical angles. Now, if we see the image:
When line 'l' is intersecting, angle 2 and angle 4 are opposite and equal. Therefore, both are vertical angles. Similarly,
angle 1 and angle 3
angle 5 and angle 7
angle 6 and angle 8
All are vertical angles.
supplementary Angles: When the sum of both the angles is 180 then the angles are called supplementary. For example, When line 'l' intersects the other line, the sum of angle 1 and angle 2 is equal to 180 degrees. Similarly,
angle 3 and angle 4
angle 5 and angle 6
angle 7 and angle 8
All are supplementary angles.
