Angle-PairAngle-Pairs-according-to-position.pdfs.pdf

Angle-Pairs-according-to-position.pdf

1. =MATH

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Angle Pairs
Angle Pairs Based on
Their Positions

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Angle Pairs classified according to
their positions
Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Linear pair are two adjacent angles whose non-common
sides are opposite rays.
Vertical angles are two non-adjacent angles formed by
intersecting lines.

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Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Adjacent angles
∠��� and ∠��� are adjacent angles
two angles
have the same vertex
have common side
no common interior points
∠��� and ∠���
point D
��
Are ∠��� and ∠��� adjacent angles?Yes

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Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Adjacent angles
∠��� and ∠��� are non-adjacent angles
∠��� and ∠��� two angles
have the same vertex
have common side
no common interior points
Are ∠��� and ∠��� adjacent angles?No

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Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Adjacent angles
∠?????????????????? and ∠????????????� are adjacent angles
two angles
have the same vertex
have common side
no common interior points
∠?????????????????? and ∠????????????�
point O
????????????
Are ∠?????????????????? and ∠????????????� adjacent angles?Yes

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Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Adjacent angles
∠?????????????????? and ∠????????????� are non-adjacent angles
∠?????????????????? and ∠????????????�
point O
????????????
two angles
have the same vertex
have common side
no common interior points
Are ∠?????????????????? and ∠????????????� adjacent angles?No

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Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Adjacent angles
Adjacent
angles
Non-
adjacent
Angles
1
2
1
2
12
1
2

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Linear Pair
Linear pair are two adjacent angles whose non-common
sides are opposite rays.
Example: Do ∠�??????� and ∠�??????� form a linear pair?
two adjacent angles
non-common sides are
opposite rays
??????� and??????� are opposite
rays and form a line
Therefore, ∠�??????� and ∠�??????� form a linear pair.
Yes
Note: Linear pair are supplementary.

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Linear Pair
Linear pair are two adjacent angles whose non-common
sides are opposite rays.
Example: Do ∠� and ∠� form a linear pair?
two adjacent angles
non-common sides are
opposite rays
Therefore, ∠� and ∠� do not form a linear pair.
No

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Linear Pair
Linear pair are two adjacent angles whose non-common
sides are opposite rays.
Linear
Pairs
Non-
linear
pairs
12 12
1
2
1
2
1
2

12. N
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L
I
E
Angles formed by the two intersecting lines:
∠LSE
S
∠ESI
∠ISN
∠LSN
Adjacent Angles
N
∠LSE and ∠ESI

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L
I
N
E
Angles formed by the two intersecting lines:
∠LSE
S
∠ESI
∠ISN
∠LSN
Adjacent Angles
∠LSE and ∠ESI
∠LSN and∠LSE

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L
I
N
E
Angles formed by the two intersecting lines:
∠LSE
S
∠ESI
∠ISN
∠LSN
Adjacent Angles
∠ESI and ∠ISN
∠LSE and ∠ESI
∠LSN and∠LSE

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L
I
N
E
∠LSE
S
∠ESI
∠ISN
∠LSN
Adjacent Angles
∠ESI and ∠ISN
∠LSE and ∠ESI
∠LSN and∠LSE
Angles formed by the two intersecting lines:
∠LSN and ∠ISN
Note:
•Adjacent angles formed by intersecting lines form a linear pair.
•Linear pair are supplementary.

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L
I
N
E
Non-adjacent Angles
∠LSE and ∠ISN
∠LSN and ∠ESI
Angles formed by the two intersecting lines:
Note:
•Non-adjacent angles formed by intersecting lines are called
vertical angles.
•Vertical angles are congruent.
S

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Angle Pairs classified according to
their positions
Adjacent angles are two angles that have the same vertex
and a common side but no common interior points.
Linear pair are two adjacent angles whose non-common
sides are opposite rays.
Vertical angles are two non-adjacent angles formed by
intersecting lines.

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A. Use the figure at the right to determine adjacent angles.
1. ∠1and ____2. ∠5and ____
1
2
3
5
6
B. Use the figure at the right to determine linear pairs.
1. ∠2and ____2. ∠6and ____
C. Use the figure at the right to vertical angles.
1. ∠2and ____
∠�∠�
∠�∠�
∠�
D. Use the figure at the right to find the
measure of the indicated angle.
1.If ??????∠2=121°, then ??????∠1= ____.
2.If ??????∠2=121°, then ??????∠3= ____.
3.If ??????∠6=44°, then ??????∠5=______.
�??????°
���°
���°

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2
4
3
Refer to the figure on the right to
answer the following questions below.
1.Which angle is vertical to ∠�?
2.Which angle forms a linear pair
with ∠�?
3.What is ??????∠�?
4.What is ??????∠�?
5.What is ??????∠�?
6.What is ??????∠�?
1
4
22°

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Identify the indicated angles as adjacent angles, vertical angles,
or linear pair.
1.∠��� and ∠���
2.∠��� and ∠���
3.∠��� and ∠���
4.∠��� and ∠���
5.∠��� and ∠���

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Find the measure of the indicated angles below.
1.m∠���=
2.m∠���=
3.m∠���=
4.m∠���=
5.m∠���=
??????�°
��°
��°
??????�°
���°

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