2. [6 marks]. Consider the following graph: (i) If G had a planar drawing, how many faces would it have? (ii) If G had a planar drawing, what would the be the sum of the face degrees? (iii) What can you conclude from (ii) and (iii)? [Recall that in a planar drawing of a simple graph, each face has degree at least three.] (iv) Do you think G has a planar drawing? In each part of this question, be sure to give a brief justification of how you got your answer; answers without justification will not receive any marks.

Fig: 1