Thursday, July 29, 2010

Can you please advise how to draw an angle of 135 Degrees and bisect it using compass?

I know the ans is 67.5 however, from which angles do you get it from. Or how do you do it using a compass. Many thanksCan you please advise how to draw an angle of 135 Degrees and bisect it using compass?
Steps to do this with only a straightedge and compass :





1) Draw a straight line with the straightedge.


2) Construct a perpendicular to this line.


3) Bisect one of the right angles formed.





You now have a 45 degree angle -- and a 135 degree angle.





4) Bisect the 135 the same way you bisected the 90.





As for the mesure, you know it will be 67.5 degrees, since bisect means to cut in half.Can you please advise how to draw an angle of 135 Degrees and bisect it using compass?
Draw an 60 degree angle first then extend it to 120. Bisect teh 60degree angle into 30 degrees each and again bisect one of 30 degree angles into 15degrees. Take this measurment of 15 degree draw upon the 120 degree angle and your would get 135. the math is like this 60+ 60= 120 + 15 = 135.





Take the measurement of midpoint of the said 135degree angle and bisesct it.
yup!





Here are all the steps... :





1. First make any line segment, say AB


2. taking any radius (less than AB) make a sort of semi circle, taking A as center





the place where this ';circle'; intersects AB would be at say,. D.





3. taking same radius and D as center, cut the same ';circle';, i.e. intersect it...





4. now from this intersection point as center, taking same radius, cut the ';circle'; again.





this angle is 120 degrees...





5. repeat 4. with the new point..





we have 160 degrees...





6. Now intersect the last arc, i.e. the arc made by the latest 2 points..





7. when you intersect this arc, then you will get 2 arcs, intersect the which is on the 'upper' side..





now, this ive us 90 + [(60/2)/2] =%26gt; 90 + (30 /2) =%26gt; 90 + 15 = 135!





To bisect this angle, say angle XAD :-





1. Take X as center and more than half the distance between X and D..





2. cut two arcs once from X and once from D, they should intersect..





Join A with this point...





gives you, 135/2 = 67.5 degrees..





i'm sure you can figure out how to bisect the other angles too..





hope that helps//
1. Draw 90 degree angle. Bisect it.





2.You'll get 45 degree. Adjacent angle is 135 degree.





3.Bisect it then.





Instructions to bisect are in the following link :





www.youtube.com/watch?v=hzEYW383HAw





Hope the video will help you more than verbal nstructions as you seem to be a novice.
construct a perpendicular by bisecting a line


bisect one of the 90潞 angles


the obtuse angle will be 135潞


bisect the 135潞 angle to get 67.5潞

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