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r = 0.1389 cm
Each edge will be 5 cm so: 0.5*5*5*sin(60 degrees)*5 = 54.127 cubic cm to 3 d.p.
Using the cosine rule they are 28.96 degrees, 104.47 degrees and 46.57 degrees which all add up to 180 degrees.
The 5 sided regular pentagon will consist of 5 congruent isosceles angles with equal sides of 6.379881063 cm by using the sine rule and 2 equal base angles of 54 degrees with an apex angle of 72 degrees opposite side 7.5 cm Area of the pentagon: 0.5*6.379881063^2 *sin(72)*5 = 96.77685379 square cm
Using the sine rule the possibilities are: 25 degrees, 28.93 degrees, 126.07 degrees with a 3rd side of 58.15 cm or 25 degrees, 151.07 degrees, 3.93 degrees with a 3rd side of 4.93 cm