Matatag Curriculum Angle Pairs Relationship.ppt

Mathematics 7 Angle Pairs

1. Adjacent AnglesAdjacent Angles
These are examples of adjacent angles.
55º
35º
50º130º
80º
45º
85º
20º

2. Adjacent AnglesAdjacent Angles
These angles are NOT adjacent.
45º55º
50º
100º
35º
35º

3. Vertical AnglesVertical Angles
•Two angles formed by intersecting lines and have no
sides in common but share a common vertex.
•Are congruent.
When 2 lines When 2 lines
intersect, they intersect, they
make vertical make vertical
angles.angles.
75º
75º
105º
105º
Common Common
VertexVertex

4. Vertical Vertical
angles are angles are
opposite opposite
one one
another.another.
75º
75º
105º
105º
Vertical AnglesVertical Angles

5. Vertical Vertical
angles are angles are
opposite opposite
one one
another.another.
Vertical AnglesVertical Angles
75º
75º
105º
105º

6. Supplementary AnglesSupplementary Angles
Add up to 180Add up to 180º.º.
60º120º
40º
140º
Adjacent and
Supplementary Angles
S
u
p
p
l
e
m
e
n
t
a
r
y

A
n
g
l
e
s
b
u
t

n
o
t

A
d
j
a
c
e
n
t

7. Supplementary AnglesSupplementary Angles
•Two angles are supplementarysupplementary if their
measures add up to
•If two angles are supplementary each angle is
the supplementsupplement of the other.
•If two adjacent angles together form a straight
angle as below, then they are supplementary.
7
180.
12
1 and 2 are
supplementary
 

8. Complementary AnglesComplementary Angles
Add up to 90Add up to 90º.º.
70º
20º
20º
70º
Adjacent and
Complementary Angles
C
o
m
p
l
e
m
e
n
t
a
r
y

A
n
g
l
e
s
b
u
t

n
o
t

A
d
j
a
c
e
n
t

9. Complementary AnglesComplementary Angles
•Two angles are if their measures add
upcomplementarycomplementary to
•If two angles are complementary, then each
angle is called the complementcomplement of the other.
•If two adjacent angles together form a right
angle as below, then they are complementary.
9
90.
1
2
A
B
C
1 and 2 are
complementary
if is a
right angle
ABC
 


10. Practice Time!

11. Find the missing angle
55
x
I know that these angles are
complementary.
They must add up to 90°
So……
90 – 55 = 35
The missing angle is 35

12. You try.
20
x
Are they
supplementary or
complementary?
Find the missing
side.

13. You try.
20
x
Are they
supplementary or
complementary?
complementary
Find the missing
side.
90 – 20 = 70
The missing angle
Is 70

14. One More
50
x

15. Find the missing angle
120
x
I know these are supplementary angles.
Supplementary angles add up to 180.
The given angle is 120. So…..
180 – 120 = 60
The missing angle is 60

16. Find the missing angle
130
x
What kind of angles?
What’s the missing angle?

17. Find the missing angle
130
x
What kind of angles?
Supplementary
What’s the missing angle?
Adds up to 180, so…..
180 – 130 = 50

18. Find the missing angle
x
30
Do this one on your own.

19. Directions:
The teacher will be flashing
statements on the board.
The students are given 5 second to
think and do one of the following
Raise the white card if they agree
Raise the red card if they don’t
agree.

20. #1
60º
120º

21. #1
60º
120º
Supplementary Angles
Adjacent Angles

22. #2
60º
30º

23. #2
60º
30º
Complementary Angles

24. #3
75º
75º

25. #3
75º
75º
Vertical Angles

26. #4
60º
40º

27. #4
60º
40º
None of the above

28. #5
50º
90º

29. #5
50º
90º
Complementary Angles