Download Models and Examples Guided Practice

Name
Supplementary and Vertical Angles
Models and Examples
Two intersecting lines form four angles.
The angles have special relationships.
Adjacent angles formed by two intersecting lines are supplementary.
The sum of the measures of supplementary angles = 180°.
a
c
b
a + b = 180°
c + d = 180°
d
Opposite angles formed by two intersecting lines are vertical angles.
Vertical angles are congruent.
Guided Practice
Use the diagram to answer each question.
b
If
of
a
c
d
Which angles are
congruent? Why?
d = 75°, what is the measure
b? How do you know?
© CSL Associates, Inc. (877) 790-7915
GEOMETRY • Vol. 2 •
IL Workbook P
13
Name
Supplementary and Vertical Angles
Practice
Use the diagram.
Which angles are supplementary angles?
Which angles are vertical angles?
If
p
P measures 37°, what is
the measure of
Q? Why?
q
s
r
If
P measures 37°, what is
the measure of
R Why?
Which pairs of angles are congruent?
Use a ruler. Draw 2 line
segments so that they
form right angles.
True or false? Explain.
If one angle formed by two
intersecting lines measures
90°, then all angles measure
90°.
14
IL Workbook P
GEOMETRY • Vol. 2 •
If one angle formed by two
intersecting lines is 60°, then
you can find the measures of
the remaining angles.
© CSL Associates, Inc. (877) 790-7915