use trisection method
To construct a 54-degree angle with a compass, start by drawing a straight line using a ruler. Place the compass on one endpoint of the line and draw an arc that intersects the line. Without changing the compass width, place the compass on the intersection point and draw another arc. Where the two arcs intersect is a point that, when connected to the endpoint of the line, forms a 54-degree angle.
With the ruler and compass construct a right angle isosceles triangle with a base of 9 cm At 4 cm from the LHS or RHS of the base draw a line that meets the apex of the triangle The angle of this line will be 40 degrees because each 1 cm of base space represents 10 degrees when joined to the apex
By bisecting an angle of 30 degrees using a compass and a straight edge
Draw a point, and a long straight line through it. Put the centre of the compass over the point, with north on the compass (or zero degrees) on the line. Then draw a second line out from the point at 80 degrees on the compass. You'll then have a 80 degree angle between the lines. It's usually a trick that teachers decide to do on their pupils. A compass is what you use to find north and a pair of compasses is used to draw circles.
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.
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
first draw a ray .
Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
Well, honey, you start by drawing a line with your ruler. Then, you put the point of your compass on one end of the line and draw an arc. Next, you put the point of your compass on where the arc intersects the line and draw another arc. Where those arcs meet is your 32-degree angle. Voila!
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!
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
You cannot, you must use a protractor.
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.