The number of members that prefers geometry are 54members
Given the total number of people in the math club = 120 members
Let algebra + arithmetic + geometry = 100%
20 + 35 + geometry = 100
55 + geometry = 100
geometry = 100 - 55
geometry = 45%
This shows that the percentage of the member of the club that prefers geometry is 45%
Number of member that prefer geometry = 45% * 120
Number of members that prefer geometry 0.45 * 120
Number of members that prefers geometry = 54 members
Hence the number of members that prefers geometry are 54members
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