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Angles - Complementary, Supplementary, Vertical
Contributed by: Mercurio
(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 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
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   - 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   - 81   =

o
o
x

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   - 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
19
o
x

Solve for x.  x =

x
28
o

**Challenge Question**

Solve for y.  

                     y = 

(This takes two steps to solve.)
2y
28
o
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