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.
pad khaoo !!
A compass
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.
two supplementary angles * * * * * NO! Supplementary angles sum to 180 degrees = 2 right angles. The correct answer is complementary angles.
In math a compass is an object used to draw accurate circles and arcs (parts of circles, or curves). In math, a compass is something that makes a circle and it also measures circumference. How to make a circle: A compass either has led in it or you stick a pencil in it, but it depends on what kind of compass it is. If you want to make a big circle, you expand the 2 sides. when you get it to the size you want, you stick it on paper and twirl it around. It may not be a perfect circle but it most likely will be close.
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
pad khaoo !!
Use a ruler
By drawing regular polygons as for instance a square will have 4 equal right angles and an equilateral triangle will have 3 equal 60 degree angles.
Daedalus's nephew (Perdix/Talos) invented a saw (using the spin and teeth of fish) and a compass (the one used to construct angles).
Make sure you are using the correct SI unit on the ruler.
There is a hole in the ruler (i.e.) circle just make the circle using that
different angles by using two stripe
Simple. What you do get a ruler and something to get the angles matching up, therefore use the ruler to make a line 12 cm long. get the protracter and get the angles to match up.
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.
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