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Mathews-Pairs of Angles with a little algebra
Contributed by: Mathews
(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∘   = 

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 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
The two indicated angles are
x =

supplementary angles

complementary angles

vertical angles

o
x

28

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

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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