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Project on Angles

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Project on Angles

By

Krishna Kumar Sahu

TGT - MATHS

Kendriya Vidyalaya NO. 2 CPE ITARSI

- Vertically Opposite Angles.
- Alternate interior Angles.
- Alternate Exterior Angles.
- Corresponding Angles.
- Linear pair of angles.
- Interior Angles on the same side of a Transversal.
- End Show.

Here l & m are two lines , t is transversal

Then

t

1

l

3

1 ,

2

4

4

Vertically

Opposite

Angles

2 ,

8

3

m

7

5 ,

5

7

8

6 ,

6

If two lines are intersecting each other then vertically opposite angles are always equal.

So

1 =

3 ,

2 =

4 ,

5 =

7 ,

6 =

8

t

m

Here l & m are two lines, t is a transversal

then

1

2

3

l

4

Alternate

Interior

Angles

4

1 ,

3

2 ,

If two lines are parallel to each other then alternate interior angles are equal

1 =

4 ,

2 =

3

1

2

3

4

CORRESPONDING ANGLES

Here l & m are two lines , t is transversal

Then

t

1

2

m

5

6

3

1 ,

3

4

l

4

Corresponding

Angles

2 ,

7

8

1

7

5 ,

2

5

6

8

6 ,

3

4

If two lines are parallel to each other then corresponding angles are always equal.

So

7

8

1 =

3 ,

2 =

4 ,

5 =

7 ,

6 =

8

Alternate Exterior Angles.

CORRESPONDING ANGLES

t

3

4

Here l & m are two lines, t is a transversal

then

m

l

Alternate

exterior

Angles

4

1 ,

2

1

3

2 ,

If two lines are parallel to each other then alternate exterior angles are equal

3

1 =

4 ,

2 =

3

4

1

2

Here l & m are two lines, t is a transversal

then

m

1

2

4

3

l

Pair of interior angles on the same side of transversal

4

2 ,

t

3

1 ,

If two lines are parallel to each other then sum of interior angles

on the same side of transversal is 180.

2 +

4 = 180 &

1

2

1 +

3 = 180

3

4

Linear pair of angles

Angles on a straight line is Linear pair of angles & their sum is always equal to 180o.

ACB =1800

A

C

B

ABD +

DBC = 1800

D

Two adjacent angles form a linear pair.

Two acute angles not form a linear pair.

Two obtuse angle not form a linear pair.

One obtuse and one acute angle form a linear pair.

Two right angles form a linear pair.

C

A

B