Question

Is it possible to trisect any angle using only a compass and a straight edge

Answer 1

Answer:

NO , an angle is not trisected using only a compass and a straight  edge.

Step-by-step explanation:

We are given two tools a compass and a straight edge

We need to tell if an angle is trisected using them or not.

Answer is NO , an angle is not trisected using only a compass and a straight  edge.

When we draw a semicircle by point pointer of compass at vertex of angle and then draw a line using points we get when semicircle intersects the arms of the angle. We get angle Bisection.

We again try to bisect we get four equal angles not Three.

So It is impossible to make odd numbers of equal angles from a given angle using a compass and a straight edge.

Answer 2

Hello from MrBillDoesMath!

Answer:

No. That problem cited is one of 3 great unsolved problems of antiquity. See  https://en.wikipedia.org/wiki/Angle_trisection for details.

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!