Answer: The answer is (C) 1.
Step-by-step explanation: As drawn in the attached figure and given in the question, LMNOPQ is a regular hexagon and ABDEF is a regular pentagon, both of them have same centre 'C'.
We are to find the number of lines of reflection across which the combined figure will be reflected onto itself.
Now, a regular hexagon is symmetric at an angle of 60° and a regular pentagon is symmetric at an angle of 72°.
Therefore, the combined figure will be symmetric at angle
= LCM (60°, 72°) = 360°.
So, number of lines of reflection will be
[tex]n=\dfrac{360^\circ}{360^\circ}=1.[/tex]
Thus, the correct option is (C) 1.
