Instructions
Pages 3 is designed to be used as in class notes to introduce the angle pairs created
by parallel lines and transversals. Answer key located on page 8.
Pages 4&5 create a foldable that students can put in their notebooks to help them
practice recognizing the different types of angle pairs. Directions are on the pages
and no answer key
is needed/included.
Page 6 can be used as notes or as a worksheet to help students practice identifying
angle pairs and finding missing angle measurements. Answer key located
on page 9.
Page 7 can be used as notes or as a worksheet to help students practice writing
& solving equations for congruent and supplementary angle pairs. Answer key
located on page 10.
©Amazing Mathematics 2
Angle Pairs Created by Parallel Lines Cut by a
Transversal
Vocabulary
- A line that crosses parallel lines to create pairs of
congruent and supplementary angles
- Having the same measurement
- Angles that add up to 180°
Angle Pairs in Parallel Lines Cut by a Transversal
Exterior Exterior
Interior Interior
Exterior Exterior
- Angles that lie on the same side of the transversal and on the
same side of the parallel lines. These angles are in the same
“corner” and are congruent
- Angles on opposite sides of the transversal and inside the two
parallel lines. These angles are congruent
- Angles on opposite sides of the transversal and outside the
parallel lines. These angles are congruent
- Angles on the same side of the transversal and inside the
parallel lines. These angles are supplementary
- Angles on the same side of the transversal and outside the
parallel lines. These angles are supplementary
- Angles that are across from each other and are formed by any
intersecting lines (not just parallel lines and transversals). These
angles are congruent.
©Amazing Mathematics 3
Angle Pairs Created by Parallel Lines Cut by a
Transversal
Cut out the squares on page 5 and glue them to the corresponding
square Fill in “Congruent” or “Supplementary” for each box to say what
theGlueangles
Flap Hereare Glue Flap Here Glue Flap Here
Corresponding Same-Side Exterior Vertical
Angles Angles Angles
The angles The angles The angles
are are are
Glue Flap Here Glue Flap Here Glue Flap Here
Same-Side Interior Alternate Interior Same-Side Interior
Angles Angles Angles
The angles The angles The angles
are are are
Glue Flap Here Glue Flap Here Glue Flap Here
Alternate Exterior Vertical Alternate Exterior
Angles Angles Angles
The angles The angles The angles
areGlue Flap Here are are
Alternate Interior Glue Flap Here Glue Flap Here
Angles
Same-Side Exterior Corresponding
Angles Angles
The angles are The angles are
The angles
are
©Amazing Mathematics 4
Angle Pairs Created by Parallel Lines Cut by a
Transversal
1. Cut out the squares Do NOT cut the
2. Fold along the dotted line in each square to create a dotted lines...they are
“flap”
for folding
3. Glue the flap to the corresponding square on
page 4
©Amazing Mathematics 5
Angle Pairs Created by Parallel Lines Cut by a
Transversal
For each set of angles name the angle pair and find the missing
measurement
1) 5)
Type of angle pair Type of angle
68°
These angles are pair These
x° angles are
x° 77
°
so….x= so….x=
2) Type of angle pair
Type of angle pair
6) 106 These angles are
x° ° x°
134°
These angles so….x=
are so….x=
3) Type of angle pair
120°
x° Type of angle pair
These angles are
74
7) °
These angles are
x°
so….x= so….x=
4) 101°
Type of angle pair These
x°
angles are 8) of angle pair x°
T
so….x= These angles
y
142°
p are
e so….x=
©Amazing Mathematics 6
Angle Pairs Created by Parallel Lines Cut by a
Transversal
For each set of angles name the angle pair, write the equation, solve the
equation for x, and plug in x to find the missing angle
measurements
1) Type of angle pair Show your work
These angles are
3x°
Equation
6x
x=
°
Angle Measurements=
2) Show your work
Type of angle pair
7x- These angles are
12° Equation
3x+28° x=
Angle Measurements=
3)
Type of angle pair Show your work
3x+77°
These angles are
Equation
4x+54° x=
Angle Measurements=
4)
Type of angle pair Show your work
These angles are
9x+ Equation
8°
x=
4x+1
8° Angle Measurements=
©Amazing Mathematics 7
Angle Pairs Created by Parallel Lines Cut by a
Transversal
Vocabulary
Transversal - A line that crosses parallel lines to create pairs of
congruent and supplementary angles
Congruent - Having the same measurement
Supplementary - Angles that add up to 180°
Angle Pairs in Parallel Lines Cut by a Transversal
Exterior Exterior
Interior Interior
Exterior Exterio
r Have students color in
the angle pairs on the
diagrams
Corresponding - Angles that lie on the same side of
the transversal and on the same side of the parallel lines. These
angles are in the same “corner” and are congruent
Alternate Interior - Angles on opposite sides of the
transversal and inside the two parallel lines. These angles are
congruent
Alternate Exterior - Angles on opposite sides of the
transversal and outside the parallel lines. These angles are
congruent
Same-Side Interior - Angles on the same side of the
transversal and inside the parallel lines. These angles are
supplementary
Same-Side Exterior - Angles on the same side of the
transversal and outside the parallel lines. These angles are
supplementary
Vertical - Angles that are across from each
other and are formed by any intersecting lines (not just parallel
lines and transversals). These angles are congruent.
©Amazing Mathematics 8
Angle Pairs Created by Parallel Lines Cut by a
Transversal
For each set of angles name the angle pair and find the missing
measurement
1) Type of angle pair
5)
Type of angle pair
_Corresponding_ _Same-Side
68° These angles are x° Exterior These
_Congruent angles are
x°
so….x= 68° 77 _Supplementary
° so….x=_103°
2) Type of angle pair Type of angle pair
_Alternate Interior
106° These angles are
x° 6)
x° _Congruent
134° _Same-Side Interior
so….x=_106°
These angles are
_Supplementary
3) so….x=_46°
Type of angle pair
120° _Same-Side Interior
x° 74° These angles are
Type of angle pair x° _Supplementary
so….x=_106°
7)
_Vertical
These angles
are
_Congruent
so….x=_120°
4) Type of angle 8) Type of angle pair
pair _Alternate
101°
_Alternate Exterior x° These
Interior These 142 angles are
x° °
angles are _Congruent
_Congruent so….x=_142°
so….x=_101°
©Amazing Mathematics 9
Angle Pairs Created by Parallel Lines Cut by a
Transversal
For each set of angles name the angle pair, write the equation, solve the
equation for x, and plug in x to find the missing angle
measurements
1) Type of angle pair _Same-Side Show your work
Interior These angles are
3x°
_Supplementary Equation
6x
3x+6x=180
°
x=_20
Angle Measurements=
2) 60°&120°
Show your work
7x-
12° Type of angle pair _Alternate
Exterior These angles are
_Congruent
Equation 7x-12=3x+28
3x+28° x=_10
Angle Measurements= 58°&58°
3)
Type of angle pair _Same-Side Show your work
3x+77°
Exterior These angles are
_Supplementary
4x+54° Equation
3x+77+4x+54=180
x=_7
Angle Measurements= 98°&82°
4)
Type of angle pair Show your work
_Corresponding_ These angles
9x+ are _Congruent Equation
8°
9x+8=4x+18
4x+1
8° x=_2
Angle Measurements=
26°&26°
©Amazing Mathematics 10
If your students need more practice to strengthen their
skills in parallel lines cut by a transversal I hope
you will explore
some of my other resources as well.
Images are hyperlinked for easy access to the product
©Amazing Mathematics 11
