The correct option is C 10
In the givne figure, the line segments are ¯¯¯¯¯¯¯¯AB, ¯¯¯¯¯¯¯¯BC, ¯¯¯¯¯¯¯¯¯CD, ¯¯¯¯¯¯¯¯¯DE, ¯¯¯¯¯¯¯¯AC, ¯¯¯¯¯¯¯¯¯AD, ¯¯¯¯¯¯¯¯¯BD, ¯¯¯¯¯¯¯¯BE, ¯¯¯¯¯¯¯¯CE and ¯¯¯¯¯¯¯¯AE.
Hence, there are 10 line segments in the given figure.