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angle of intersecting lines wanted such that symmetric to be coplanar

Source: Spanish Mathematical Olympiad 1981 P3

December 23, 2022

lines3D geometrygeometrysymmetry

Problem Statement

Given the intersecting lines

r

and

s

, consider the lines

u

and

v

as such what: a)

u

is symmetric to

r

with respect to

s

, b)

v

is symmetric to

s

with respect to

r

. Determine the angle that the given lines must form such that

u

and

v

to be coplanar.