Question

when n parallel lines are intersected by a transversal and the number of pairs of vertically opposite angles are 16 then the value of n is

Answer 1

For every every pair of intersecting lines there are 2pairs of vertically opposite angles

Since the lines are parallel the lines other than the transversal intersect only once

For every parallel line there are 2 pairs

Since there are 16 pairs 16/2 =n

N=8