This construction shows angles AOF=40 degrees, BOE= 90 degrees, BOF= 140 degrees, BOG=70 degrees, BOH=35 degrees and BOI=17.5 degrees. From the simple construction of 40 degree angle using compass, pencil and ruler only, a wider range of other angles such as 5, 10, 20, 25, 35, 50, 70, 130, 140 etc can be derived. Eureka!!!
hey tell the process
ReplyDeleteConstruct 40, with 90.
ReplyDeleteThen take the bisecting angles (20, then 10, 5; 45); or complementary angles (140) and bisect them again (70, 35, 17.5), etc.
For example, for 40: https://www.youtube.com/watch?v=L2QmWbHEU8U
And for bisecting angle: https://www.youtube.com/watch?v=U4q5rEw3ZpY