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Chapter 2 Lesson 5
Objective: To identify
angle pairs.
Vertical Angles
Two angles whose sides form two pairs of opposite rays
3
1
2
4
Adjacent Angles
Two coplanar angles with a common side, a common vertex, and
no common interior points
1
2
1
2
Complementary Angles
Two angles whose measures have sum 90
Each angles is called the complement of the other.
50°
2
1
A
B
40°
Supplementary Angles
Two angles whose measures have sum 180
Each angle if called the supplement of the other.
105°
1 2
75°
Example 1:
In the diagram identify pairs of numbered angles that are
related as follows:
a. complementary
 2 and 3
b. supplementary
 4 and  5; 3 and
c. vertical
 3 and
4
1
5
5
2
4
3
Example 2:
Name all pairs of angles in the diagram that are:
a. vertical
1
and 3; 2 and
b. supplementary
 2 and 3; 3
 4 and 1
c. complementary
none
and
4
4
2 3
1 4
Example 3:
What can you conclude from the information in the diagram?
4
3
5
2
1
• 1   2, by the markings
• 2 and  3, are adjacent angles
• 4 and 5, are adjacent supplementary angles
• m 4 + m 5 = 180 by the Angle Addition Postulate
• 1 and  4, are vertical angles
Example 4:
Can you make each conclusion from the information in the
diagram? Explain.
T

a. TW WV
Yes; the congruent segments are marked

b. PW WQ
No; there are no markings
c. TV  PQ
No; there are no markings
d. TV bisects PQ
No; there are no markings
e. W is the midpoint of TV
Yes; the congruent segments are marked
P
W
V
Q
Homework
Page 100 -101
#1-18; 27; 32-34; 37-38