It is possible to construct an angle of 100 degree by compass.yes or no
If yes than how and ,
If no than why
Dear Student,
Please find below the solution to the asked query:
We can construct angles , As we have shown in steps some of angle constructions .
Step 1 : Draw a line AB
Step 2 : Now take any radius in our compass . draw a semicircle , That meet at X our line AB .
Step 3 : Now we take center X and draw an arc with same radius that meet our semicircle at ' C ' And with same radius draw an arc taking center ' C ' that meet our semicircle at ' D ' .
Thats how we get CAB = 60 And DAB = 120
Step 4 : Now we draw two arcs as with same radius and center C and D , these arcs meet at E . So we get
EAB = 90 , Line AE meet our semicircle at 'Y'
Step 5 : Now we take same radius and center D and Y , these arcs meet at P . So we get
PAB = 105 .
Step 6 : Now we take same radius and center C and Y , these arcs meet at Q . So we get
QAB = 75 .
Step 6 : Now we take same radius and center C and X , these arcs meet at R . So we get
RAB = 30 .
So we can construct so many angles with help of compass.
![](https://s3mn.mnimgs.com/img/shared/ck-files/ck_583d4968908e9.jpg)
But we can't construct angle 10 with the help of compass , As we only form angles 60 , 120 And angles between them As 90 , 45 , 150 or 30 75 or 22.5 .
Hope this information will clear your doubts about Constructions.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
We can construct angles , As we have shown in steps some of angle constructions .
Step 1 : Draw a line AB
Step 2 : Now take any radius in our compass . draw a semicircle , That meet at X our line AB .
Step 3 : Now we take center X and draw an arc with same radius that meet our semicircle at ' C ' And with same radius draw an arc taking center ' C ' that meet our semicircle at ' D ' .
Thats how we get CAB = 60 And DAB = 120
Step 4 : Now we draw two arcs as with same radius and center C and D , these arcs meet at E . So we get
EAB = 90 , Line AE meet our semicircle at 'Y'
Step 5 : Now we take same radius and center D and Y , these arcs meet at P . So we get
PAB = 105 .
Step 6 : Now we take same radius and center C and Y , these arcs meet at Q . So we get
QAB = 75 .
Step 6 : Now we take same radius and center C and X , these arcs meet at R . So we get
RAB = 30 .
So we can construct so many angles with help of compass.
![](https://s3mn.mnimgs.com/img/shared/ck-files/ck_583d4968908e9.jpg)
But we can't construct angle 10 with the help of compass , As we only form angles 60 , 120 And angles between them As 90 , 45 , 150 or 30 75 or 22.5 .
Hope this information will clear your doubts about Constructions.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards