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Prepared by:
Gina Mae T. Flores
Mathematics 7 Teacher
1. What is the difference between
complementary angles and
supplementary angles?
2. Who can define the linear pair?
3. How about the vertical angles?
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.
The “ll” in the parallel
Are lines that will
never meet.
a line that interesects two or
more lines
running or lying across
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
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.”
80˚
80˚
80˚
100˚
100˚
100˚
100˚
50˚
50˚
50˚130˚
130˚
130˚
130˚
Are any of these angles congruent?
How can we find the measurement of
these angles?
80˚
80˚
80˚
100˚
100˚
100˚
100˚
50˚
50˚
50˚130˚
130˚
130˚
130˚
Compare the measures of the following:
1.corresponding angles
2.alternate interior angles
3.alternate exterior angles
“What do you observe?”
 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˚
VERTICAL
ANGLES
75˚
ALTERNATE
INTERIOR
75˚
LINEAR PAIR
105
˚
ALTERNATE
EXTERIOR
112˚
LINEAR PAIR
68˚
ALTERNATE
INTERIOR
109˚
LINEAR PAIR
71˚
CORRESPONDING ANGLES
92˚
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
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.
 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.
QUIZ
ALTERNATE EXTERIOR
ANGLES
125˚
CORRESPONDING ANGLES
70˚
QUIZ
ALTERNATE
EXTERIOR
CORRESPONDING ANGLES
47˚
LINEAR PAIR
133˚
65˚
LINEAR PAIR
115˚
QUIZ
ALTERNATE
INTERIOR
80˚
X + 20 = 80
X = 60
VERTICAL
ANGLES
80˚
LINEAR PAIR
100˚
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
Solve for t, and the
measures of all angles.
Write the answer in
your assignment
notebook.
Transversal Line

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Transversal Line