Question

how to construct 67.5 degree angle with the help of compass ??????

Answer 1

First draw 60 degree and 90 degree.Then bisect the angle between 60 degree and 90 degree. Thus we get 75 degree. Now bisect the angle between 60 degree and 75 degree and we get 67.5 degree

Answer 2

To construct 67.5 degree with help of compass follow the following steps:--

1)First construct a line and draw 180 degree by compass .

2)Then bisect 180 to draw 90 degrees by placing compass fixed and bisecting 180 degrees.

3)Now we will bisect 90 degree to make 45 degree by placing needle of compass first on in drawn in start and then at line making 90 degrees this will bisect 90 degree and we get 45 degrees.

4)Now on bisecting 45 degree we get 22.5 degrees we know difference between 45 degree and 90 degree is 45 so will bisect this 45 degree as 45+22.5=67.5 degrees.

5) For bisecting 45 degree between the drawn 45 and 90 degree first place needle of compass on drawn 45 degrees make a cut then place is on line of 90 degree make other cut this is bisector 22. 5 degree .

6)Draw line to this bisector from origin and the angle drawn is desired angle that is 67.5 degrees.