by using a ruler
To construct an angle of 150 degrees using a compass, you would first draw a ray as the initial side of the angle. Then, place the compass on the vertex of the angle and draw an arc that intersects the initial ray at a point. Next, without changing the compass width, place the compass on the intersection point and draw another arc that intersects the previous arc. Finally, draw a ray from the vertex through the point of intersection of the two arcs to create an angle of 150 degrees.
doubling the cube
An infinite number. It is relatively simple to draw a perpendicular bisector and so you have a 90 degree angle. It is also simple to bisect an angle and so you can make a 45 deg angle and, if you add it to the other side of the 90 deg, a 135 deg angle. Bisect these and you can make 22.5 deg, 67.5 deg, 112.5 deg and 157.5 deg. You can keep bisecting angles and adding them to either side of the angles that you have already got. In theory, there is no limit to the number of times this process can be repeated - except the lifespan of the universe.
First draw a circle. Keeping the compass at the same angle; from any point on the circle's edge, draw another arc that intersects the circle's edge and (should) go through the centre as well. Repeat these arcs until you get back to the start. Using a ruler, connect the six intersect points on the edge of the circle and erase the construction lines.
use trisection method
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 .
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
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
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 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.