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Pairs of Angles with a little algebra
Contributed by: Siroky
(Original author: Cason)

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∘   = 

50
o
o

Angles that make 180 degrees together are

supplementary angles.  The missing angle is:

o

25

o

Angles that make 180 degrees together are called

supplementary angles.  The missing angle isL

112

o
o

Angles that make 180 degrees together are called

supplementary angles.  The missing angle is:

75

o
o

Angles that make 180 degrees together are called

supplementary angles.  The missing angle is:

x

81

o
o

Angles that make 180 degrees together are called

supplementary angles. The missing angle is:

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∘ =

x
o

25

o

Angles that make 90 degrees together are called

complementary angles.  The missing angle is:

x

67

o
o

Angles that make 90 degrees together are called

complementary angles.  The missing angle is:

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
55
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

Angle 1 + angle 2 =             degrees.

 

 

Angles 1 and 2 form

complementary angles

supplementary  angles

vertical angles

1
2

Angle 1 + angle 2 =             degrees.

 

 

Angles 1 and 2 form

complementary angles
supplementary  angles

vertical angles

1
2

Angle 1 equals angle 2

 

 

Angles 1 and 2 form

complementary angles
adjacent angles
supplementary  angles

vertical angles

1
2

Solve for x.  x =

2x

112

o

Solve for x.  x =

110

2x
o

Solve for x.  x =

2x
28
o
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