Vertical Angles are two angles that are opposite each other when two lines intersect.

1
Vertical Angles are two angles that are opposite
each other when two lines intersect.
2
Using what you know about vertical angles, find
the measure of the missing angles.
By Supplementary Angles
By Vertical Angles
3
30
Are angles 2 and 4 vertical angles?
A Yes
B No
4
31
Are angles 2 and 3 vertical angles?
A Yes
B No
5
32
If angle 1 is 60 degrees, what is the measure of
angle 3? You must be able to explain why.
6
33
If angle 1 is 60 degrees, what is the measure of
angle 2? You must be able to explain why.
2
1
3
4
7
Adjacent Angles are two angles that are next to
each other and have a common ray between them.
This means that they are on the same plane and
they share no internal points.
?ABC is adjacent to ?CBD How do you
know? They have a common side (ray CB) They
have a common vertex (point B)
8
Adjacent or Not Adjacent? You Decide!
Adjacent
Not Adjacent
Not Adjacent
9
34
Which two angles are adjacent to each other?
A
1 and 4
B
2 and 4
1
4
5
6
2
3
10
35
Which two angles are adjacent to each other?
A
3 and 6
B
5 and 4
1
2
5
4
6
3
11
A transversal is a line that cuts across two or
more (usually parallel) lines.
Interactive Activity-Click Here
12
Corresponding Angles are on the same side of the
transversal and on the same side of the given
lines.
In this diagram the corresponding angles are
Transversal
13
36
Which are pairs of corresponding angles?
A
2 and 6
B
3 and 7
C
1 and 8
1
2
3
4
5
6
7
8
14
37
Which are pairs of corresponding angles?
A
2 and 6
B
3 and 1
3
6
C
1 and 8
2
5
1
4
8
7
15
38
Which are pairs of corresponding angles?
2
1
A
1 and 5
4
3
B
2 and 8
6
5
C
4 and 8
8
7
16
39
Which pair of angles are not corresponding?
5
A B C D E
4
1
8
2
6
3
7
17
Alternate Exterior Angles are on opposite sides
of the transversal and on the outside of the
given lines.
l
In this diagram the alternate exterior angles are
m
n
Which line is the transversal?
18
Alternate Interior Angles are on opposite sides
of the transversal and on the inside of the given
lines.
In this diagram the alternate interior angles are
l
m
n
19
Same Side Interior Angles are on same sides of
the transversal and on the inside of the given
lines.
l
In this diagram the same side interior angles are
m
n
20
40
Are angles 2 and 7 alternate exterior angles?
A Yes
B No
21
41
Are angles 3 and 6 alternate exterior angles?
A Yes
B No
22
42
Are angles 7 and 4 alternate exterior angles?
A Yes
B No
23
43
Which angle corresponds to angle 5?
A ?3
B ?4
C ?2
D ?6
24
44
Which pair of angles are same side interior?
A ?3, ?4
B ?4, ?7
C ?2, ?4
D ?6, ?1
25
45
What type of angles are ?3 and ?6?
A
Alternate Interior Angles
B
Alternate Exterior Angles
C
Corresponding Angles
D
Vertical Angles
E
Same Side Interior
26
46
What type of angles are ?5 and ?2?
A
Alternate Interior Angles
B
Alternate Exterior Angles
C
Corresponding Angles
D
Vertical Angles
E
Same Side Interior
27
47
What type of angles are ?5 and ?6?
A
Alternate Interior Angles
B
Alternate Exterior Angles
C
Corresponding Angles
D
Vertical Angles
E
Same Side Interior
28
48
Are angles 5 and 2 alternate interior angles?
A Yes
B No
29
49
Are angles 5 and 7 alternate interior angles?
A Yes
B No
30
50
Are angles 7 and 2 alternate interior angles?
A Yes
B No
31
51
Are angles 3 and 6 alternate interior angles?
A Yes
B No
32
Special Case!!! If parallel lines are cut by a
transversal then Corresponding Angles are
congruent Alternate Interior Angles are
congruent Alternate Exterior Angles are
congruent SO
n
m
l
33
52
Given the measure of one angle, find the measures
of as many angles as possible. Which angles are
congruent to the given angle? Type one answer
into your responder.
34
53
Given the measure of one angle, find the measures
of as many angles as possible. What are the
measures of the remaining angles?
35
54
Given the measure of one angle, find the measures
of as many angles as possible. Which angles are
congruent to the given angle? Type one of the
angles into the responder.
l
m
3
1
5
7
2
4
n
8
36
55
Given the measure of one angle, find the measures
of as many angles as possible. What are the
measures of the remaining angles?
l
m
3
1
5
7
2
4
n
8