Name
Date
Refresher:
Which angles are vertical?
(1)
(2)
(3)
(4)

Vertical angles are _____________________________.

The arrowheads on a line indicate that the lines are _____________________________.
Parallel Lines and Angle Pairs
Postulate/Theorem
Corresponding Angles Postulate
If two parallel lines are cut by a transversal,
then each pair of corresponding angles is
___________________________.
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal,
then each pair of alternate interior angles is
___________________________.
Examples
Diagram
Consecutive Interior Angles
Theorem
If two parallel lines are cut by a
transversal, then each pair of
consecutive interior angles is
___________________________.
Alternate Exterior Angles Theorem
If two parallel lines are cut by a
transversal, then each pair of
alternate exterior angles is
___________________________.
Ex. 1
Find Missing Angles
Directions: In this figure, m < 3 = 110 and m < 12 = 55. Find the measure of each angle.
a) < 1
b) < 6
c) < 2
d) < 10
e) < 13
f) < 15
Ex. 2
Find Missing Angles
Directions: In this figure, m < 9 = 75. Find the measure of each angle.
a) < 3
b) < 5
c) < 6
d) < 8
e) < 11
f) < 12
Ex. 3
Find Missing Angles
Directions: In this figure, m < 3 = 43. Find the measures of each angle.
a) < 2
b) < 7
c) < 10
d) < 11
e) < 13
f) < 16

Perpendicular Transversal Theorem
Ex.

Ex. 4
Angles formed by two parallel lines and a transversal can be used to find unknown
values.
Find Values of Variables
Ex. 5
Find Values of Variables
Find x and y.
Ex. 6
Find Values of Variables
Find x and y.
Ex. 7
Find Values of Variables
Find x and y.