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Angles in Parallel lines
Contributed by: Walker
(Original author: Tate)
∡a
and  they will always be
and ∡b are
Corresponding Angles
b
corresponding angles
a
congurent.

∡p is corresponding to ∡

 

∡f is corresponding to  ∡ 

∡x is corresponding to∡ 

f
m
g
p
y
x

type  in the

   correct

   letter

∡

 

∡

∡

w =
x =
y =
1100
o
o
o
y

w

x

Fill in the number

of degrees

∡

∡

∡ c =

a =

b =
a
b
o
o
o
c

850

fill in the number

 of degrees

∡a  and  ∡b  are 

 

∡a  and  ∡b are always

ALTERNATE  INTERIOR ANGLES

b

a

Alternate Interior Angles

congruent

∡
∡a    and   ∡b
a
 and ∡
b
b
are always
are
a
Alternate Interior angles

congruent

∡a  is alternate to ∡

 

∡c  is alternate to ∡

c
a

e

b

Fill in with the

correct letter

∡x  = 
∡w = ∡
w
x
740
y
degrees
 =
degrees
∡b  = 
∡c  =  ∡
∡c
=
a
o

o

b
=
640
c
o
transversal
Consecutive angles always add up to 180o

 

∡a  + ∡b  =  180O
Consecutive Angles
b
a

NOTE: ∡a and ∡b are

 inside the parallel

lines and on the same

side of the transversal

∡e  and  ∡f   are a pair of
∡e  +  ∡f  =
If ∡e  = 68o,   then ∡f =

f

e

o
Consecutive angles
o
∡a  =
∡b =
∡c =
o
o
o
b
c
a
114o
37o and ∡a  are a pair of
∡a  = 

∡b  =

o
O

37o

143o
b
a
angles
163o and  ∡
∡a =
∡
c =
163o
o

o

are vertical angles
a
e

c

∡
e =
o

        Find the value of the angles shown:

∡
∡
d =
a =
o
o

 

79o
∡
∡
a
e
 e =
c
b =
d
b
o

o

∡
c =
o
∡
∡
b =
h =
h
123o
x
o
o
∡

∡

k
m =

k =

b

m

o

o
∡
x =

o

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