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G Angles 1 - Teaching
As you complete this 
assignment please make
notes for the vocabulary
to use while completing
and to study.
You should know the 
following words.
vertical
supplementary
complementary
alternate exterior
alternate interior
corresponding
adjacent

Angles 1 and 3 are directly across from each other.

They are called vertical angles.  They share only a

vertex.  They always measure the same.  Therefore,

if angle 1 measures 27 degrees, angle 3 will

measure         degrees.

1

2

4

3

Angles 2 and 4 are also directly across from each other.

They are  vertical too.  They share only a

vertex.  They always measure the same.  Therefore,

if angle 2 measures 153 degrees, angle 4 will

measure         degrees.

1

2

4

3

Angles 1 and 3 are directly across from each other.

They are called vertical angles.  They share only a

vertex.  They always measure the same.  Therefore,

if angle 1 measures 23 degrees, angle 3 will

measure         degrees.

1

4

2

3

Angles 1 and 3 are directly across from each other.

They are called vertical angles.  They share only a

vertex.  They always measure the same.  Therefore,

if angle 1 measures 123 degrees, angle 3 will

measure         degrees.

4

1

3

2

Angles 2 and 4 are directly across from each other.

They are called vertical angles.  They share only a

vertex.  They always measure the same.  Therefore,

if angle 2 measures 157 degrees, angle 4 will

measure         degrees.

1

4

3

2

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 50   =

o
x
o
o
50
o
o

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 25   =

o
o
o

25

o

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 112   =

o

112

o
o
o

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   -75=

o
o

75

o
o

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 81   =

o
x
o
o

81

o
o

Angles that make 180 degrees together are called

supplementary angles.  If we know the measure of

one angle, we can subtract from 180 to find the

missing angle.   180   - 52   =

o
o
x
52
o
o

Angles that make 90 degrees together are called

complementary angles.  If we know the measure of

one angle, we can subtract from 90 to find the

missing angle.     90   - 25   =

o
o
x
o

25

o

Angles that make 90 degrees together are called

complementary angles.  If we know the measure of

one angle, we can subtract from 90 to find the

missing angle.     90   - 67   =

o
x
o

67

o
o

Angles that make 90 degrees together are called

complementary angles.  If we know the measure of

one angle, we can subtract from 90 to find the

missing angle.     90   - 40   =

o
o
x
o

40

o
The two indicated angles are
x =

supplementary angles

complementary angles

vertical angles

o
x

28

o
The two indicated angles are
x =
x

supplementary angles

complementary angles

vertical angles

o
52
o
The two indicated angles are
x =

supplementary angles

complementary angles

x

vertical angles

o
52
o
The two indicated angles are
x =
x
o

supplementary angles

complementary angles

vertical angles

o

141

o
The two indicated angles are
x =

supplementary angles

complementary angles

x

vertical angles

o
52
o
The two indicated angles are
x =

supplementary angles

complementary angles

vertical angles

o

71

o
x
The two indicated angles are
x =
x

supplementary angles

complementary angles

vertical angles

o

34

o

Lines a and b are parallel.  Line c is a transversal

crossing to make 8 angles.  All acute angles will be

congruent and all obtuse angles will also be congruent.

 

Angle 1 is vertical to angle         .

 
a

8

1

7

b

2

6

3

5

4

c

Supplementary angles do not have to be adjacent

(next to each other).  Because angle 2 is acute it

is supplementary with all of the obtuse angles in this

drawing.  It is supplementary with angles 1, 7, 5, &

angle        .

a

8

1

7

2

b

6

3

5

4

c

Lines a and b are parallel.  Line c is a transversal

crossing to make 8 angles.  All acute angles will be

congruent and all obtuse angles will also be congruent.

 

Angle 4 is vertical to angle         .

a

8

1

7

2

b

6

3

5

4

c

Lines a and b are parallel.  Line c is a transversal

crossing to make 8 angles.  All acute angles will be

congruent and all obtuse angles will also be congruent.

 

Angle 2 is vertical to angle         .

a

8

1

7

2

b

6

3

5

4

c

Supplementary angles do not have to be adjacent

(next to each other).  Because angle 1 is obtuse it

is supplementary with all of the acute angles in this

drawing.  It is supplementary with angles 2, 8, 4, &

angle        .

a

8

1

7

2

b

6

3

5

4

c

Angles 1, 8, 4, & 5 are called exterior angles because

they are outside the parallels.  Angles 1 and 5 are

alternate exterior angles because they measure the same.

Angle 8 is alternate exterior with angle          .

a

8

1

7

2

b

6

3

5

4

c

Angles 2, 7, 3, and 6 are called  interior angles because

they are inside the parallels.  Angle 2 is alternate

interior with angle 6 because they measure the same.  

Angle 3 is alternate interior with angle       . 

a

8

1

7

2

b

6

3

5

4

c

Lines a and b are parallel.  When they are parallel

corresponding angles (every other angle on the same

side of a transversal - line c - are congruent.  What angle

1 measures, 3 will measure.  What angle 2 measures, 4

will measure.  What angle 8 measures,         will measure.

a

8

1

7

2

b

6

3

5

4

c

Angles 1 and 3 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 1 and 4 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 1 and 5 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 1 and 2 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 2 and 3 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 2 and 4 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 2 and 6 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 2 and 8 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Angles 2 and 7 are

a

8

1

alternate interior angles
alternate exterior angles
corresponding angles
supplementary  angles

vertical angles

7

2

b

6

3

5

4

c

Last but not least adjacent angles are next to each

other.  They will share a ray.  That is their only

condition.

 

adjacent                             not adjacent

Where supplementary and complementary angles

 

do not have to touch,                     angles must touch 

 

because they share a ray or side.

Angle 1 + angle 2 =             degrees.

 

 

Angles 1 and 2 form

complementary angles

only adjacent angles

supplementary  angles

vertical angles

1
2

Angle 1 + angle 2 =             degrees.

 

 

Angles 1 and 2 form

only adjacent angles

complementary angles
supplementary  angles

vertical angles

1
2

Angle 1 equals angle 2

 

 

Angles 1 and 2 form

complementary angles
only adjacent angles
supplementary  angles

vertical angles

1
2

Angle 1, angle 2, and angle 3 equal 360 degrees.

 

 

Angles 1 and 2 form

complementary angles
adjacent angles
supplementary  angles

vertical angles

1

3

2

Solve for x.  x =

2x + 6

112

o

Solve for x.  x =

112

2x + 6
o

Solve for x.  x =

2x + 6
28
o
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