The power point explains the concept of pairs of angles and transversal with the help of examples.It also helps us to understand the concepts of complementary and supplementary angles.

2. L
N
O
•
•
S T
•
M •
m OST=71° m LMN=19°
M OST + M LMN=90°

3. If the sum of the two angles is 90°,
the two angles are called
complementary angles

4. °
J
K I
X
Y
Z
m
JKI=118° m XYZ=62°
m JKI + m
XYZ=180°

5. If the sum of the measures of
two angles is 180° ,they are
called supplementary angles.

6. L
M
N
• O• •
Side MO is common to the two angles
LMO & OMN
The interiors of the angles
LMO & OMN are different.

7. Two angles which have a
common arm
but whose interiors are distinct are
Called adjacent angles.

8. •
y
• •
x o z
XOY and YOZ are adjacent angles
They have a common arm OY
The other two arms i.e Arm OX ofXOY
and the arm OZ of YOZ are opposite rays

9. A pair of adjacent angles whose
outer
arms are opposite rays are
said to be a linear pair of
angles.

10. L
O
R
M
N
•
•
• •
LRO and MRN are a pair of vertically
opposite or vertical angles.
LRM and ORN are also a
pair of vertical
Angles.

11. The measures of angles in a pair
of Vertically opposite angles are
always equal.

12. P
R S B
J M G
A
•
• •
•
•
•
Line RB and line JG are two parallel
lines
line PA is their transversal
PSB and SMG are a pair of corresponding
angles on the same side of the transversal
and their measure are SAME /EQUAL.

13. The measures of angles in each
pair of Corresponding angles
formed by a transversal of parallel
lines are equal.

14. U
•
R S H
D B C
A
•
•
• •
•
Line RH ǁ line DC
Line UA is their transversal
RSB and SBC form a pair of alternate
angles , and the measures of RSB and
SBC are equal.

15. The measures of angles in each
pair of alternate angles formed
by a transversal of parallel lines
are equal.

16. D
A V K
P S
L
M
•
•
•
•
•
•
Line AK ǁ line PM
Line DL is their transversal
KVS and VSM is pair of interior angles
on the same side of the transversal.
The sum of the measures of the angles
KVS and VSM is 180°.

17. The sum of the measures of the
interior angles formed by a transversal
of parallel
lines is 180°.