pad khaoo !!
In conjunction with a straight edge and a protractor.
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.
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.
90 degree
Any two angles whose sum is equal to 90 degrees are called "complementary angles".
Use a ruler
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 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
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!
In conjunction with a straight edge and a protractor.
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
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.
Construct a 90 degree angle isosceles triangle which will have equal sides and then divide the base into 9 equal parts joining the parts by lines to the apex of the trangle. Each line represents 10 degrees and 8 lines will equal to 80 degrees.
Using a protractor rather than a compass is easier as follows:- Draw a straight line of about 8 cm then place a protractor onto the line with zero degrees at the beginning of the line then mark off 40 degrees. Remove the protractor and join the mark to the beginning of the straight line and 'hey presto!' you have constructed a 40 degree acute angle. ---------------------------- It isn't possible to construct a 40 degree angle with only a straightedge and compass. There are well-known constructions for making a 60 degree angle and a 90 degree angle. Building on this, you can make an angle of any multiple of 15 degrees by adding and/or subtracting these angles. If you successively bisect these angles, you get angles of 30, 15, 7.5, 3.75, ... and 45, 22.5, 11.25, ... etc. degrees. Unfortunately there is no way to combine these angles to get exactly 40 degrees. If there were a way to trisect an angle, this would open up many more possibilities. For instance if you trisect a 120 degree angle, you get 40 degrees. In traditional geometrical constructions, you are only allowed to use a ruler and straightedge - a ruler with no marks on it. The Greeks made this rule several centuries BC. For at least 2500 years people have tried to find a way to trisect an angle, but no one has succeeded. If you change the word "straightedge" to "ruler", (all you really need to do is make a pencil mark on the straightedge), then there is a method, but it isn't considered a construction, and it's not really accurate because you have to juggle the position of the ruler until it fits in a certain position.
Well, honey, you start by drawing a straight line with your compass. Then you put the pointy end of the compass on one end of the line and swing that bad boy until it hits the line at the desired angle. Voilà, you've got yourself a 56 degree angle. Keep on slaying those geometry problems, darling.
To make a circle using a compass and a ruler, first place the compass point on the paper where you want the center of the circle to be. Adjust the compass width to the desired radius of the circle. Keeping the compass width the same, draw a complete circle by rotating the compass around the center point. Use a ruler to ensure the circle is drawn accurately and smoothly.