UNIT 1: BASICS OF GEOMETRY
1.6 – Angle Pair Relationships
Vertical Angles
& Linear Pairs
Vertical Angles
Linear Pairs
Identifying Vertical Angles
& Linear Pairs
MA30: GEOMETRY
(Text Ref: Ch 1.6 Pg 44-50)
I. Vertical Angles & Linear Pairs
A. Vocabulary
Vertical Angles –
Linear Pairs –
B. Identifying Vertical Angles and Linear Pairs
1) Is the statement is true. Explain.
a) Are 1 and 3 vertical angles?
b) Are 1 and 4 vertical angles?
c) Are 2 and 4 a linear pair?
d) Are 1 and 4 a linear pair?
Example #2
2) Is the statement is true. Explain.
a) Are 1 and 5 a linear pair?
b) Are 1 and 2 a linear pair?
c) Are 3 and 5 vertical angles?
d) Are 1 and 4 vertical angles?
Find Angle Measures
(ALGEBRA)
C. Finding Angle Measures (ALGEBRA)
Solve for x in the diagram. Then find all the angle measures.
1)
Vertical Angle
Example
Linear Pair
Example
2)
1.6 – Angle Pair Relationships (continued)
Find Angle Measures
(ALGEBRA)
D. Finding Angle Measures (ALGEBRA)
Solve for x and y in the diagram. Find all the angle measures.
1)
Vertical Angle &
Linear Pair
Example #1
Vertical Angle &
Linear Pair
Example #2
Complementary &
Supplementary Angles
2)
II. Complementary and Supplementary Angles
A. Vocabulary
Complementary Angles –
Vocabulary
Supplementary Angles –
Finding Measures of
Complements &
Supplements
B. Finding Measures of Complements and Supplements
1) Given that A is a complement of C and mA  47,
find mC.
2) Given that P is a supplement of R and mR  36,
find mP.
C. Find the Complement and Supplement of the Angle.
1) mZ  85
2) mG  125