Construction of Angles with Compass

In the Chapter construction of angles we learn how to construct an angle by compass. It is very easy to construction of angles by compass. To read this chapter you will be able to construct any angle by compass which can be draw by compass. 45 degree angle with compass draw 45 degree angle

First of all we must know, which angle we draw by compass. The number which is multiples of 15, we can easily construct this angles. construction of angles is very important topic for exam.

In this chapter we learn to construct angle with compass.
construction of angles 15 degree angle with compass
construction of angles 30 degree angle with compass
construction of angles 45 degree angle with compass
construction of angles 60 degree angle with compass
construction of angles 75 degree angle with compass
construction of angles 90 degree angle with compass
construction of angles 105 degree angle with compass
construction of angles 120 degree angle with compass
construction of angles 135 degree angle with compass
construction of angles 150 degree angle with compass
construction of angles 165 degree angle with compass
construction of angles 180 degree angle with compass

Required equipment : Ruler (Scale), Pencil, A notebook Compass, Eraser, Sharpener etc   

1. How to draw 15 degree angle
Construction of angles 15 degree angle with compass with main point of Construction 
(a) Draw a line segment 

(b) Take compass and pencil

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) From point C and D draw the arc one by one.
from point D

from point C

(e) where this two arc intersection each other, we give point E.
(f) Then draw a line from E to A, by using scale and pencil.

in this way we construction an 30 degree angle.

(g) Cut the arc from point F and C.
from point F

From point C

(h) where this two arc intersection each other, we give point G.
(i) Then draw a line from G to A, by using scale and pencil.

(j) We get a angle of 15 degree.

2. How to draw 30 degree angle
30 degree angle with compass
How to draw 30 degree angle
Construction of angles 30 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) From point C and D draw the arc one by one.
from point D

from point C

(e) where this two arc intersection each other, we give point E.
(f) Then draw a line from E to A, by using scale and pencil.

in this way we construction an 30 degree angle.

3. How to draw 45 degree angle
45 degree angle with compass 
How to draw 45 degree angle
Construction of angles 45 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) From point C and D draw the arc one by one.
from point D

from point C

(e) where this two arc intersection each other, we give point E.
(f) Then draw a line from E to A, by using scale and pencil.

in this way we construction an 30 degree angle.

(g) Cut the arc from D and F points.
From D point

From F point

(h) Where these two arc intersect each other give point G.
Draw a line from point G to point A.

in this way we construction an 45 degree angle.

4. How to draw 60 degree angle
60 degree angle with compass 
How to draw 60 degree angle
Construction of angles 60 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) Draw a line from point D to A.

(e) in this way we construction an 30 degree angle.

5. How to draw 90 degree angle
90 degree angle with compass 
How to draw 90 degree angle
Construction of angles 90 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) Put compass nib on point D and cut a arc E.

(e) From point D and E cut two arc 
from point E

from point D

(f) Where these two arc intersect each other, we give point F.
(g) Draw a line from point G to point A using scale.

(e) in this way we construction an 30 degree angle.

6. How to draw 75 degree angle
75 degree angle with compass 
How to draw 75 degree angle
Construction of angles 75 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) Put compass nib on point D and cut a arc E.

(e) From point D and E cut two arc 
from point E

from point D

(f) Where these two arc intersect each other, we give point F.
(g) Draw a line from point G to point A using scale.

(e) in this way we construction an 90 degree angle.

(f) Now put the compass nib on point G and D. And cut two arc.
from point G

from point D

(g) Where these both arc intersect each other, give point H

(h) in this way we construction an 90 degree angle.

7. How to draw 120 degree angle
120 degree angle with compass 
How to draw 120 degree angle
Construction of angles 120 degree angle with compass with main point of Construction 
(a) Draw a line segment 

First of all we draw a line segment using by ruler and pencil (any size).

(b) Take compass and pencil

Now put pencil in the compass and draw a semicircle using compass.

(c) Draw the arc

Now put the compass nib on C point then draw a arc. We give this arc name point D.

(d) Put compass nib on point D and cut a arc E.

(e) Draw a line from point E to point A.

(f) in this way we construction an 90 degree angle.

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