Uploaded by Jennifer Pitterle

Geometry Notes 1.4-1.5 Classifying angles and angle relationships

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1.5 Describe Angle
Pair Relationships
1.) Define and identify complementary angles,
supplementary angles, and adjacent angles.
2.) Find the complement and supplement of an
angle.
3.) Define a linear pair and vertical angles.
1.5 Describe Angle Pair Relationships
Angle Pair Relationships
Adjacent Angles
1 2
12
Adjacent Angles
2
1
2
1
Not Adjacent Angles
1.5 Describe Angle Pair Relationships
complementary angles - two angles whose
o
90
measures add up to _____
supplementary angles - two angles whose
o
180
measures add up to ______
adjacent angles - two angles that share a
common vertex and ray
____________________
, but have no
common interior points
1.5 Describe Angle Pair Relationships
Are <KGH and <LKG adjacent angles.
Ex. 1
Are <FGK and <FGH adjacent angles?
1.5 Describe Angle Pair Relationships
Find the following.
Ex. 2
(a) Given that <1 is a complement of <2 and
the m<2 = 8o , find m<1.
(b) Given that <3 is a supplement of <4 and
the m<3 = 117o , find m<4.
Angle Pair Relationships
1
2
1
2
12
Vertical Angles
1
1 2
2
2
1
Not Vertical Angles
1.5 Describe Angle Pair Relationships
linear pair -
vertical angles -
1.5 Describe Angle Pair Relationships
Ex. 3
Identify all of the linear pairs and all
of the vertical angles in the figure at the
right.
Homework­ Page 29
15­38 (skip 28), 42, 56­61
32.
JKL is a "total"
JKM is a "part"
They should have doubled it to get
60, not cut it in half.
16. Sample
CBE acute
18. Sample
FEA obtuse
34. 38
20. Sample
CEB acute
36. 37
22. 99
38. 37
24. 101
42. x/2 + 17 = x ­ 33
x = 100
26. 6x ­ 15 + x + 8 = 168
x = 25
30. m
m
XWZ = 68
FJG = 135
m
XWY = 136
56. about 158
58. about 167
60. about 39
m
ABC = 134
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Mental Math Multiplication.ppt
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