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Transcript 
Chapter 1
Section 1.5
Angle Pair Relationships
Linear Pair
1
2
1 and 2 form a linear pair
m1 + m2 =180°
• Two adjacent angles form a linear pair if
their noncommon sides are opposite rays.
– Form a straight angle.
• Any two angles that form a linear pair have
a sum of 180°.
Vertical Angles
4
1
3
2
1 and 3 are vertical angles
4 and 2 are vertical angles
• Two angles are vertical if their sides form two
pairs of opposite rays.
• Vertical Angles are congruent
Use the figure to answer the
questions
1. Are 1 and 2 a linear pair?
•
Yes
2. Are 4 and 5 a linear pair?
•
No
3. Are 3 and 1 vertical angles?
•
No
4. Are 2 and 5 vertical angles?
•
Yes
Use the figure to answer the questions
5. If m6 = 51°, then m7 = _____
•
129° -- Linear Pair
6. If m8 = 103°, then m6 =_____
•
103° -- Vertical Angels
7. If m9 = 136°, then m8 =_____
•
44° -- Linear Pair
8. If m7 = 53°, then m9 =_____
•
53° -- Vertical Angles
Complementary Angles
A
30°
60°
B
mA + mB = 90 °
A and B are complementary
• Two angles are complementary if their sum
is 90°.
• Each Angle is the complement of the other
Supplementary Angles
A
120°
60°
B
mA + mB = 180 °
A and B are complementary
• Two angles are supplementary if their sum
is 180°.
• Each angle is the supplement of the other
A and B are complementary and B and C are
supplementary
9. If mA = 48° then mB = _____ and mC = _____
• mA + mB = 90°
• mB + mC = 180°
• 48° + mB = 90°
• 42° + mC = 180°
• mB = 42°
• mC = 138°
A and B are complementary and B and C are
supplementary
10. If mB = 83° then mA = _____ and mC = _____
• mA + mB = 90°
• mB + mC = 180°
• mA + 83° = 90°
• 83° + mC = 180°
• mA = 7°
• mC = 97°
A and B are complementary and B and C are
supplementary
11. If mC = 127° then mB = _____ and mA = _____
• mC + mB = 180°
• mA + mB = 90°
• 127° + mB = 180°
• mA + 53° = 90°
• mB = 53°
• mA = 37°
A and B are complementary and B and C are
supplementary
12. If mA = 25° then mB = _____ and mC = _____
• mA + mB = 90°
• mB + mC = 180°
• 25° + mB = 90°
•65° + mC = 180°
• mB = 65°
• mC = 115°
Find the value of the variable
Vertical Angles are congruent
Solve for y
Solve for x
y + 20° = 70°
2x + 40 = 110
y = 50°
2x = 70
x = 35°
Find the value of the variable
Linear Pairs are add up to 180°
x + 168° = 180°
x = 12°
Vertical Angles are congruent
y = 168°
Find the value of the variable
Vertical Angles are congruent
Solve for x
Solve for y
48 + x = 64
8y + 36 = 14y – 24
x = 16
36 = 6y – 24
60 = 6y
10 = y
Homework #6
Pg 38: 1-7, 9-15
odd, 16, 17-27 odd,
28-35, 46-54, 57,61
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