Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
by using a ruler
Well, isn't that a happy little question! To make an angle of 150 degrees with a compass, you can start by drawing a straight line. Then, place the pointy end of the compass on one end of the line and draw an arc. Next, place the pointy end of the compass on the other end of the line and draw another arc that intersects the first arc. Finally, draw a line from the starting point to where the arcs intersect, and voila, you have a lovely 150-degree angle!
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.
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
use trisection method
first draw a ray .
To construct a 32-degree angle using a ruler and compass, start by drawing a horizontal line segment. Place the compass needle on one endpoint of the line and draw an arc that intersects the line. Without changing the compass width, place the needle on the other endpoint and draw another arc that intersects the first arc. The angle formed by the intersection of these two arcs with the horizontal line will be approximately 32 degrees.
To construct a 125-degree angle using a compass and ruler, start by drawing a straight line and marking a point on it (point A). Using the compass, draw an arc centered at point A that intersects the line. Without changing the compass width, place the compass point on one intersection and draw another arc above the line. Repeat this from the other intersection, creating two arcs that intersect. Finally, use a ruler to draw a line from point A through the intersection of the arcs, forming a 125-degree angle with the original line.
To construct a 37.5-degree angle using a ruler and compass, start by drawing a straight line and marking a point A on it. Then, construct a 60-degree angle at point A by drawing an arc from A, marking points B and C where the arc intersects the line, and connecting A to B. Next, bisect the 60-degree angle by placing the compass point on B, drawing an arc that intersects the angle, and marking those intersection points. Finally, draw a line from A through the intersection of the arcs to create a 30-degree angle, then bisect the 30-degree angle to obtain the desired 37.5-degree angle.
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.
To construct a 130-degree angle in a parallelogram using a ruler and compass, start by drawing a baseline segment ( AB ). Next, use a compass to create an arc from point ( A ) that intersects the baseline at point ( C ), ensuring that the angle ( CAB ) measures 130 degrees. Then, draw a line from point ( A ) through point ( C ). Finally, replicate this angle at point ( B ) to complete the parallelogram, ensuring that opposite angles are equal.
To construct an 82-degree angle using a compass, start by drawing a straight line using a ruler. Then, place the compass needle on one end of the line and draw an arc that intersects the line. Next, place the compass needle on the point where the arc intersects the line and draw another arc. Finally, use a protractor to measure an angle of 82 degrees where the two arcs intersect the line, and draw the angle.
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
by 60 degree and 90 degree