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Angle Pair Relationships
Unit 1 Day 6

Do Now
 In your own words, what are opposite rays?
 What is the definition of adjacent angles?
Vertical Angles
 Two angles are ___________________ if their sides form
two pairs of opposite rays.
E
A
C
D
B
Linear Pairs
 Two adjacent angles form a ______________ if
their noncommon sides are opposite rays.
 (Together they create a line.)
E
A
C
B
Ex. 1: Identifying Vertical Angles and
Linear Pairs
a) Are2 and 3 a linear pair?
b) Are 3 and 4 a linear pair?
c) Are 1 and 3 vertical angles?
d) Are 2 and 4 vertical angles?
1
2
4 3
Measures of Vertical Angles and Linear Pairs
 Since angles that form a linear pair form a line, their
measures must add up to ____________
 Vertical angles are ___________.
v1
x
v2
Ex. 2: Finding Angle Measures
 In the stair railing shown at the
right, 6 has a measure of 130º.
Find the measure of the other
three angles.
Ex. 3: Finding Angle Measures
Ex. 3A
Supplementary and Complementary
Angles
 Two angles are ______________________ if the sum of
their measures is 180°.
 Two angles are ______________________ if the sum of
their measures is 90°.
Ex. 4: Finding Measures of Complements
and Supplements
a) Given that A is a complement of C and mA = 47º,
find mC.
b) Given that P is a supplement of R and mR = 36º,
find mP.
Ex. 5: Finding the Measure of a
Complement
 W and Z are complementary. The
measure of Z is five times the
measure of W. Find mW.
Ex. 5B
 Suppose two lines intersect so that the measure of
one of the angles formed is 20° less than three
times the measure of one of the other angles
formed. What are the measures of all four angles
formed?
Closure
 Describe the relationships between the four angles
formed by two intersecting lines.