Question

Can you construct a 7.5 degree angle using just a compass and straightedge?

Answer 1

We can construct 75 degrees of angle nor 7.5 degree using compass

Answer 2

First draw an angle of 60 deg with a compass.

Bisect the angle to get 30 deg + 30 deg.

Bisect the 30 deg angle to get 15 deg + 15 deg.

Bisect the 15 deg angle to get 7.5 deg + 7.5 deg.

Thus the final angle is 7.5 deg.