Question

Which of these constructions is impossible using only a compass and straightedge?

A.Doubling the square
B.Tripling the square
C.Trisecting any line segment
D.Trisecting any angle

Answer 1

option: D (D.Trisecting any angle )

Explanation:

" One of the most well known problems from ancient Greek mathematics was that of trisecting an angle by straightedge and compass, which was eventually proven impossible in 1837 by Pierre Wantzel, using methods from Galois theory "

Hence Option: D is true.

Trisecting any angle is impossible using only a compass and straightedge.