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angles vertical angles
Contributed by: Childress
Which angle pairs are vertical?
1
2
4
 1 & 3
1 & 2
2 & 3
3 & 4
3
If m⊾A=400, then what is m⊾C?
A
m⊾C=
D
B
C
If m⊾A=400, then what is m⊾B?
A
m⊾C=
D
B
C
m⊾1=65
1
3
4
2
m⊾2=
m⊾3=
m⊾3 = 133
2
3
1
4
m⊾1=
m⊾2=
m⊾4 =
Vertical angles are formed when 2 lines intersect.
They are always:
adjacent
opposite and congruent
add up to 1800
add up to 900
Angles 1 & 2 are:
1
4
2
3
vertical
adjacent & supplementary
add up to 900
congruent
m⊾1 = 750
1
2
4
3
m⊾2=
m⊾3=
Angles  A & B are adjacent.
What does adjacent mean?
A
D
B
C
opposite 
interior
next to
exterior
m⊾2=
m⊾1=
2
1
3
4
vertical angles are congruent
Key:  m⊾2=m⊾4
m⊾4=3x+19
m⊾2=5x+9
-3x
5x+9 =3x+19
2x+9
2x
2
-9
x = 5
-3x
19
-9
10
2
1
4
2
3
key:  m⊾1=m⊾3
m⊾1= 2x+15
m⊾3= 4x + 11
x =
2x+15=4x+11
1
4
2
3
 m⊾1=
m⊾3=
key:  m⊾1=m⊾3
m⊾1= 2x+15
m⊾3= 4x + 11
2x+15=4x+11
1
4
2
3
 m⊾2=
m⊾4=
key:  m⊾1=m⊾3
m⊾1= 2x+15
m⊾3= 4x + 11
2x+15=4x+11
1
4
2
3
m⊾2=3x+26
m⊾1=2x+14
Key:??????
Find x
m⊾1=
m⊾4=
m⊾3=
m⊾1=
m⊾4=
1
2
3
4
m⊾1=x+17
m⊾4=2x+5
Key:???????
Find x
m⊾2=m⊾3=
2
3
5
4
m⊾2=
m⊾3=
m⊾2=9x+7
m⊾4=5x+23
key:?????
x=
m⊾3=
m⊾2=
m⊾1=
m⊾4=
2
4
3
1
m⊾3=x+15
m⊾1=x+5
CAREFUL!!!!!
KEY:?????
X=
m⊾D=
m⊾A=
x=
A
C
B
D
m⊾A=2x+15
m⊾D=x+40
m⊾B=
m⊾C=
Key:????????
m⊾2=
m⊾1=
m⊾4=
m⊾3=
3
1
4
2
m⊾1=x+75
m⊾4=6x
Were you thinking on that last problem?
Careful on this one.
m⊾1=
2
1
4
3
m⊾3=6x+13
m⊾4=4x+47
Key:??????
x=
m⊾2=
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