First draw a 90 degree angle .Than draw a 20 degree angle from that 90 degree angle . Than the rest of the angle will be 90-20=70 .Now bisect the 70 degree angle we will get 70/2=35. Now add the rest of the angle means 35+20 =55
GOT 55 DEGREE ANGLE
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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
An angle of 65° can not be trisected using a compass and straight edge.
A 10 degree angle cannot be constructed using only a compass and straight edge.
by 60 degree and 90 degree
Well, honey, making an 82-degree angle with a compass is as easy as pie. Just start by drawing a straight line with your ruler. Then place the point of your compass on one end of the line and swing an arc that intersects the line. Finally, use your protractor to measure the angle between the two lines, and voila, you've got yourself an 82-degree angle. Easy peasy lemon squeezy!