This document provides teaching materials on geometry topics related to angles, parallel lines, and transversals. It includes definitions of terms like complementary angles, supplementary angles, and linear pairs. There are examples of problems involving finding angle measures using properties of parallel lines cut by a transversal, as well as practice problems for students to work through. The document aims to help students learn to identify and measure different types of angles formed when lines intersect.

1. Prepared by:
Gina Mae T. Flores
Mathematics 7 Teacher

3. 1. What is the difference between
complementary angles and
supplementary angles?

4. 2. Who can define the linear pair?

5. 3. How about the vertical angles?

6. A. I will able to define and identify a transversal
line.
B. I will able to define and identify corresponding
angles, alternate interior angles, and alternate
exterior angles given two lines in a transversal
C. I will able to determine if two lines are parallel
using a transversal line and angle measurements
D. I will able to measure and solve for the angles
created by any two lines and the transversal
between them.

10. The “ll” in the parallel

11. Are lines that will
never meet.

12. a line that interesects two or
more lines
running or lying across

16. HOW MANY ANGLES ARE CREATED BY
THESE THREE LINES?
-INTERIOR ANGLES
<3 , <4 , <5 and
<6
-ALTERNATE INTERIOR ANGLES
<3 and <6 , <4 and <5
- ALTERNATE EXTERIOR
ANGLES
<1 and <8 , <2 and <7
-EXTERIOR ANGLES
<1 , <2 , <7 and <8
- CORRESPONDING ANGLES
<1 and <5 , <3 and <7
<2 and <6 , <4 and <8

18. BY PAIR
 “ Please answer Activity #1
angles A to M in 5 minutes. You
can use the protractor or the
principle of vertical angles and
linear pair.”

19. 80˚
80˚
80˚
100˚
100˚
100˚
100˚
50˚
50˚
50˚130˚
130˚
130˚
130˚

20. Are any of these angles congruent?
How can we find the measurement of
these angles?

21. 80˚
80˚
80˚
100˚
100˚
100˚
100˚
50˚
50˚
50˚130˚
130˚
130˚
130˚

22. Compare the measures of the following:
1.corresponding angles
2.alternate interior angles
3.alternate exterior angles
“What do you observe?”

24.  Determine the
measures of the angles
marked with letters.
Lines with arrowheads
are parallel. (Note:
figures are not drawn to
scale.)
ALTERNATE EXTERIOR
ANGLES
150˚

25. VERTICAL
ANGLES
75˚
ALTERNATE
INTERIOR
75˚
LINEAR PAIR
105
˚
ALTERNATE
EXTERIOR
112˚
LINEAR PAIR
68˚

26. ALTERNATE
INTERIOR
109˚
LINEAR PAIR
71˚
CORRESPONDING ANGLES
92˚

27. 3y + 53 = 7y – 55
3y - 7y = -55 – 53
-4y = -108
y = 27
ALTERNATE EXTERIOR
ANGLESm‹1=
m‹2=
m‹1= 3y + 53
= 3 (27) +
53
= 81 + 53
=134
134
134
m<2= 7y – 55
= 7 (27) – 55
= 189 – 55
= 134

28. At my right now , love life and studies are like
parallel lines. They will never meet, but after
ten to fifteen (10-15) years it will be cut by the
transversal of which I will receive my diploma.
Thus, angles of life will be formed.
 The angle where the hardships of my parents
are paid off.
The angle where I can help my parents in
poverty.

29.  The angle where I can finally achieve my
goals.
 The angle where I can start searching for
my lifetime partner, and more.
I will not settle for less, if I can do more.

30. QUIZ
ALTERNATE EXTERIOR
ANGLES
125˚
CORRESPONDING ANGLES
70˚

31. QUIZ
ALTERNATE
EXTERIOR
CORRESPONDING ANGLES
47˚
LINEAR PAIR
133˚
65˚
LINEAR PAIR
115˚

32. QUIZ
ALTERNATE
INTERIOR
80˚
X + 20 = 80
X = 60
VERTICAL
ANGLES
80˚
LINEAR PAIR
100˚

33. 3x + 16 = 5x – 54
3x – 5x = -54 – 16
-2x = - 70
x = 35
QUIZ
m<a=
m<b=
ALTERNATE
INTERIOR ANGLES
m<a= 3x + 16
= 3(35) + 16
= 105 + 16
= 121m<b=5x – 54
= 5(35) – 54
= 175 – 54
= 121
121
121

34. Solve for t, and the
measures of all angles.
Write the answer in
your assignment
notebook.