Yes
By using a protractor and a straight edge
By bisecting an angle of 30 degrees using a compass and a straight edge
use trisection method
It is easy to draw an equilateral triangle without a protractor. That gives a 60 degree angle. It is then simply a matter of bisecting the 60 degree angle, using an unmarked rule and compass, to get a 30 degree angle.
by using a ruler and a compass
A 10 degree angle cannot be constructed using only a compass and straight edge.
by 60 degree and 90 degree
With a straight edge and a protractor
with compass.........at 90+60degree angle,,,,,,,,, * * * * * and 90 + 60 = 105??? You need to draw a 90 degree ange and bisect it to give a 45 deg angle. Then add a 60 degree angle. 45 + 60 = 105.
Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
It is possible to construct a 20 degree angle using only Ruler and Compass. I happened to stumble across a method that is highly accurate. It is posted on my blog. Check the related link
Yes
An angle of 65° can not be trisected using a compass and straight edge.
In addition to a compass, you WILL need a straight edge.Draw a long straight line.Using the compass and straight edge, and standard procedures, draw a perpendicular bisector of the line.Then, using other standard geometrical construction procedures, bisect one of the right angles to produce a 45 degree angle.The remaining right angle and the 45 degree angle next to it will be 135 degrees - as required.
A 127.5 degree angle can be constructed by using a protractor and a straight edge.
You cannot, you must use a protractor.