Project on Angles
description
Transcript of Project on Angles
By
Krishna Kumar Sahu
TGT - MATHS
Kendriya Vidyalaya NO. 2 CPE ITARSI
How many types of How many types of anglesangles ?. ?.
Vertically Opposite Angles.Vertically Opposite Angles. Alternate interior Angles.Alternate interior Angles. Alternate Exterior Angles.Alternate Exterior Angles. Corresponding Angles.Corresponding Angles. Linear pair of angles.Linear pair of angles. Interior Angles on the same side of a Interior Angles on the same side of a
Transversal.Transversal. End Show.End Show.
VERTICALLY OPPOSITE VERTICALLY OPPOSITE ANGLESANGLES
l
m
1
2
3
4
5
6
7
8
Here l & m are two lines , t is transversalThen t
1 ,
3
2 , 4
5 , 7
6 , 8
Vertically OppositeAngles
If two lines are intersecting each other then vertically opposite angles are always equal.So
1 = 3 , 2 = 4 , 5 = 7 , 6 = 8
Alternate Interior AnglesAlternate Interior AnglesHere l & m are two lines, t is a transversalHere l & m are two lines, t is a transversalthenthen
1 , 4
2 , 3
AlternateInteriorAngles
1 2
3 4l
m
t
If two lines are parallel to each other then alternate interior angles are equal
1 = 4 , 2 = 3
1 2
3 4
CORRESPONDING ANGLESCORRESPONDING ANGLESHere l & m are two lines , t is transversalThen
1 ,
3
2 , 4
5 , 7
6 , 8
CorrespondingAngles
If two lines are parallel to each other then corresponding angles are always equal.So
1 = 3 , 2 = 4 , 5 = 7 , 6 = 8
1 2
3 4l
m
t
12
3 4
5
7
6
8
78
5 6
CORRESPONDING ANGLESCORRESPONDING ANGLESAlternate Exterior Angles.Alternate Exterior Angles.
Here l & m are two lines, t is a transversalHere l & m are two lines, t is a transversalthenthen
1 , 4
2 , 3
AlternateexteriorAngles
1 2
3 4
l
m
t
If two lines are parallel to each other then alternate exterior angles are equal
1 = 4 , 2 = 3
12
34
Interior angles on the same side of a Interior angles on the same side of a transversaltransversal
Here l & m are two lines, t is a transversalHere l & m are two lines, t is a transversalthenthen
2 , 4
1 , 3
Pair of interior angles on the same side of transversal
1 2
3 4l
m
t
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 + 3 = 180 1 2
3 4
Linear pair of anglesLinear pair of angles
Angles on a straight line is Linear pair of angles & their sum is always equal to 180o.
A BC
A B C
D
ACB = 1800
ABD +
DBC = 1800
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.