45 and 90 degree angles
45 degree and a 90 degree angles
Simply use a protractor and all 3 interior angles should each measure 60 degrees.
An equilateral triangle has 60 degree angles. 60 degrees x 6 = 360 degrees. A hexagon has 6 sides so....
you might not be able to construct all the angles, but using a compass you can construct some angles by constructing angular bisectors. eg:construct angular bisector of straight line i.e; 180 degrees it gives 90 degrees
Think about this: A straight angle makes 180 degrees, right? Straight lines, when measured by a compass, are also 180 degrees. So, yes, all straight angles are straight lines.
45 degree and a 90 degree angles
The compass is used to measure angles. The straightedge is used to draw a straight line. The two items together, are used to measure and draw angles and lines in geometric drawings.
First things first, the actual statement isn't "you can't trisect an angle" but rather "you can't trisect one with only a compass and straightedge." Some angles can be easily trisected--a 90-degree angle trisects into 30-degree segments-but to do it you need a protractor. Anyway, to check your work measure the angle you trisected and divide by three. If your trisections match, you got it right.
Perpendicular lines that meet at right angles is one example
Yes and the trisections will form 4 angles of 22.5
You might not understand angles and shapes as well with a drawing program, even though it requires a little bit more effort with a compass and straightedge. You would just create shapes without understanding how they were made or what the postulates and theorems and stuff mean. To sum it up, each have their own problems and advantages, but using a compass and a straightedge lets you see deeper into the way shapes and angles work :) ugh I hate using a compass and straightedge in geometry lol :)>
Simply use a protractor and all 3 interior angles should each measure 60 degrees.
regular hendecagon has internal angles of 147.27 degrees. The area of a regular hendecagon with side length a is given byA regular hendecagon is not constructible with compass and straightedge; this animation shows an approximation:
An equilateral triangle has 60 degree angles. 60 degrees x 6 = 360 degrees. A hexagon has 6 sides so....
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.
Yes, because the ancient Greeks used many of the same rules that we still use today regarding angles and circles.
you might not be able to construct all the angles, but using a compass you can construct some angles by constructing angular bisectors. eg:construct angular bisector of straight line i.e; 180 degrees it gives 90 degrees