This document defines types of angles and conditions for parallel lines. It defines acute, right, obtuse, straight, and reflex angles based on their measure between 0 and 360 degrees. It also lists the properties of parallel lines, including that corresponding angles, alternate interior angles, alternate exterior angles, and co-interior angles of parallel lines are equal. Examples demonstrate how to determine if lines are parallel by checking if alternate interior angles are equal. The document ends by advertising private math tutoring services for different chapters and last-minute revision workshops.

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ANGLE TERM
BETWEEN 0⁰ & 90⁰ ACUTE ANGLE
90⁰ RIGHT ANGLE
BETWEEN 90⁰ & 180⁰ OBTUSE ANGLE
180⁰ STRAIGHT ANGLE
BETWEEN 180⁰ & 360⁰ REFLEX ANGLE

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8. Skip
90⁰
Repeat Previous

9. Skip
180⁰
Repeat Previous

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A B
C D

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A
6
7
8
B
& Alternate Interior Angles
4
& Alternate Interior Angles
& Alternate Exterior Angles
2
& Alternate Exterior Angles
&
&
1
&
&
Corresponding Angles
3
&
&
5
Co-interior Angles
(Also Allied or Conjoined)

12. A
B
2 1
3 4
4 6
6 5
7 8 3
& Alternate Interior Angles
& Alternate Interior Angles
& Alternate Exterior Angles
& Alternate Exterior Angles
&
&
5
4
6
Skip
1
7
2
8
1
2
5
6
3
7
4
8
&
&
Corresponding Angles
3
&
&
5
Co-interior Angles
(Also Allied
or Conjoined)
=
Repeat Previous
Now
Lines 1 & 2
are
Parallel ====
= 180⁰
= 180⁰

13. A
B
2 1
4
6 7 8
=
Skip
Alternate Interior Angles are Equal
3
4 6 Alternate Interior Angles are Equal
Then Lines A & B
are Parallel
Repeat Previous
5
Conditions
Of
Parallelism
3
Then
Similarly

14. A
B
2 1
4
6 7 8
=
Skip
Alternate Interior Angles are Equal
3
Then Lines 1 & 2
are Parallel
Repeat Previous
5
Conditions
Of
Parallelism
3
Then

15. A
B
2 1
6
7 8
Skip
= Alternate Interior Angles are Equal
Alternate Interior Angles are Equal
3
Then also
Lines 1 & 2
are
Parallel
Repeat Previous
=
4
Conditions
Of
Parallelism

16. A
B
2 1
4
Conditions of Parallelism
6 7 8 3
Skip
= Alternate Interior Angles are Equal
5
5
4
6
Alternate Interior Angles are Equal
1
7
Alternate Exterior Angles
2
8
Alternate Exterior Angles
1
2
5
6
3
7
4
8
Corresponding Angles
3
4 6
Co-interior Angles
(Also Allied
or Conjoined)
Then
Lines 1 & 2
are
==== Parallel
Repeat Previous
+ = 180⁰
= 180⁰
=
3
5

17. A
B
2 1
4
Conditions of Parallelism
6 7 8 3
Skip
= Alternate Interior Angles are Equal
5
5
4
6
Alternate Interior Angles are Equal
1
7
Alternate Exterior Angles
2
8
Alternate Exterior Angles
1
2
5
6
3
7
4
8
Corresponding Angles
3
4 6
Co-interior Angles
(Also Allied
or Conjoined)
Then
Lines 1 & 2
are
==== Parallel
Repeat Previous
+ = 180⁰
= 180⁰
=
3
5

18. A
B
2 1
4
Conditions of Parallelism
6 7 8 3
Skip
= Alternate Interior Angles are Equal
5
5
4
6
Alternate Interior Angles are Equal
1
7
Alternate Exterior Angles
2
8
Alternate Exterior Angles
1
2
5
6
3
7
4
8
Corresponding Angles
3
4 6
Co-interior Angles
(Also Allied
or Conjoined)
Then
Lines 1 & 2
are
==== Parallel
Repeat Previous
+ = 180⁰
= 180⁰
=
3
5

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