Download Section 1.6 Angle Pair Relationships

Section 1.6
Angle Pair Relationships
5/7/2017
Goals
• Vertical Angles and
Linear Pairs
• Complementary and
Supplementary Angles
Vocabulary
• Vertical Angles angles whose sides form two pairs of
opposite rays
Linear Pair
• Two adjacent angles whose non-common
sides are opposite rays.
Complementary Angles
• Two angles that add to 90°. Each angle is
the complement of the other.
Supplementary Angles
• Two angles that add to 180°. Each angle is
the supplement of the other.
Example 1
(needs picture from margin p.45 extra
example 1)
A. Are 1 and 2 a linear pair?
B. Are 4 and 5 a linear pair?
C. Are 5 and 3 vertical angles?
D. Are 1 and 3 vertical angles?
Example 2
• In one town, Main Street and Columbus
Avenue intersect to form an angle of 36°.
Find the measures of the other three
angles.
Example 3
• (needs picture from margin p. 45 extra
example 3)
• Solve for x and y. Then find the angle
measures.
Example 4
• State whether the two angles are
complementary, supplementary, or neither.
• (needs picture from margin p. 46 extra
example 4)
Example 5
A. Given that G is a supplement of H and
mG is 82°, find mH.
B. Given that U is a complement of V, and
mU is 73°, find mV.
Example 6
T and S are supplementary. The
measure of T is half the measure of S.
Find mS.
Homework Day 1
Pages 47-48
8-36
Homework Day 2
Pages 48-50
37-54, 57, 58, 62, 63, 65, 66-74 even