# how to construct 67.5 degree angle with the help of compass and ruler??how to construct 37.5 degree angle with the help of ruler and compass??

I don't now

• 0

u can construct only 60degree with ruler and compasses. but 67.5 degree is impossible

• -1

No it is not impossible

Draw a ray. With compas construct 60 degree angle by cutting 2 arcs. Further construct 120 degree angle. Upon bisecting the angle between 60 and 120 degrees, we get 90 degree angle.

Bisect the angle between 60 and 90 degrees. That gives 75 degrees angle. By further bisecting the angle between 75 degrees and 60 degrees, you will get 67.5 degrees.Mathematically,60 + (90 - 60)/2 = 60 + 15 = 7560 + (75 - 60)/2 = 60 + 15/2 = 60 + 7.5 = 67.5Thumb up please
• 4
You can also make the angle of 67.5 degree by bisecting the angle of 135 degree but you can not make the angle of 37.5 degree with the help of ruler and compass.
• 2
67.5 CAN BE CONSTRUCTED BY BISECTING 135 DEGREES.BUT I THNK IT IS NOT POSSIBLE TO CONSTRUCT 37.5 DEGREE WITH RULER AND COMPASS.
• 1
yes we can

For 67.5 degree , bisect 135 degree

For 37.5 degree , bisect 75 degree

hope it helps
• 0
We can construct 67.5 by drawing bisector of 135 degrees.we can draw 135 degrees by  firstly drawing angle of 120 degrees and then drawing of 150  degrees and then bisecting the angle formed by these angles.We can construct 37.5 by drawing bisector of 75 degrees.we can draw 75 degrees by firstly drawing angle of 90 degrees and then drawing of 60 degrees and then bisecting the angle formed by these angles.
• 0
We can construct 67.5 by drawing bisector of 135 degrees.we can draw 135 degrees by  firstly drawing angle of 120 degrees and then drawing of 150  degrees and then bisecting the angle formed by these angles.We can construct 37.5 by drawing bisector of 75 degrees.we can draw 75 degrees by firstly drawing angle of 90 degrees and then drawing of 60 degrees and then bisecting the angle formed by these angles.
• 0
We can construct 67.5 by drawing bisector of 135 degrees.we can draw 135 degrees by  firstly drawing angle of 120 degrees and then drawing of 150  degrees and then bisecting the angle formed by these angles.We can construct 37.5 by drawing bisector of 75 degrees.we can draw 75 degrees by firstly drawing angle of 90 degrees and then drawing of 60 degrees and then bisecting the angle formed by these angles.
• -1
What are you looking for?