In: Math
State which of the following are constructible and which are not constructible:
a) A segment of length sin(2pi/7)
b) An angle that measures 96 degrees
c) An angle that measures 7pi/8
d) A segment of length sin(72 degrees)
e) A triangle ABC with A = 108 degrees, b = 2, and c = ((3 + (2)^1/2)^1/2)/ (5)^1/2
a) Not constructible
b) Not constructible
c) Constructible
d) Constructible
e) Not constructible