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.

(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

How to draw 30 degree angle

**Construction of angles 30 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.

**3. How to draw 45 degree angle**

**45 degree angle with compass**

How to draw 45 degree angle

How to draw 45 degree angle

**Construction of angles 45 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.

(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.

**4. How to draw 60 degree angle**

**60 degree angle with compass**

How to draw 60 degree angle

How to draw 60 degree angle

**Construction of angles 60 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) 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

How to draw 90 degree angle

**Construction of angles 90 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) Put compass nib on point D and cut a arc E.

from point E

from point D

(g) Draw a line from point G to point A using scale.

**6. How to draw 75 degree angle**

**75 degree angle with compass**

How to draw 75 degree angle

How to draw 75 degree angle

**Construction of angles 75 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) Put compass nib on point D and cut a arc E.

from point E

from point D

(g) Draw a line from point G to point A using scale.

(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

**7. How to draw 120 degree angle**

**120 degree angle with compass**

How to draw 120 degree angle

How to draw 120 degree angle

**Construction of angles 120 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) Put compass nib on point D and cut a arc E.

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