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45 and 90 degree angles

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Q: Two angles that can be trisected with a straightedge and compass are a 90 degrees angle and what other degree of angle?
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Two angles that can be trisected with a straight edge and compass are what degrees?

45 degree and a 90 degree angles


Why is there a need to use a straightedge and compass to construct geometric figures?

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.


If I have an answer to the trisect any angle geometry question how can I discover if I am right or wrong?

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.


What is a geometric figure created using only a compass and straightedge?

Perpendicular lines that meet at right angles is one example


Is it possible to trisect a right angle using only straightedge and compass?

Yes and the trisections will form 4 angles of 22.5


What are some problems using a drawing program and not a compass and straight egde?

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 :)>


In the straightedge and compass construction of the equilateral triangle below which of the following reasons can you use to prove that and angCAB and cong and angACB?

Simply use a protractor and all 3 interior angles should each measure 60 degrees.


What is the angle size of a regular Hendecagon?

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:


Which of these tools or constructions is used to inscribe a hexagon inside a circle?

An equilateral triangle has 60 degree angles. 60 degrees x 6 = 360 degrees. A hexagon has 6 sides so....


How do you make 40 degree angle using compass and ruler what is the maths behind it?

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.


Could the ancient Greeks bisect an angle using a compass and a straightedge?

Yes, because the ancient Greeks used many of the same rules that we still use today regarding angles and circles.


How do you construct angles without using protractor?

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