1.5 Describe Angle Pair Relationships

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Transcript 1.5 Describe Angle Pair Relationships

x=6
ED = 10
DB = 10
EB = 20
Warm Up
Section 1.5
Describe Angle Pair Relationships
•We will fill out the foldable
• Two angles are complementary angles if the
sum of their measures is 90 degrees.
–Each angle is the complement of the other.
•Two angles are supplementary angles if the
sum of the measures is 180 degrees.
–Each angle is the supplement of the other.
EXAMPLE:
 a. Given that <1 is a complement of <2 and
m<1 = 68 degrees, find m<2.
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b. Given that <3 is a supplement of <4 and
m<4 = 56 degrees, find the m<3.
1.5 Describe Angle Pair
Relationships
Write into our foldable
 Two adjacent angles are a linear pair if
their non-common sides are opposite rays.
The angles in a linear pair are always
supplementary.
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Two angles are vertical angles if their sides
form two pairs of opposite rays. And they
are congruent.
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1
4
3
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Complementary angles and
supplementary angles can be adjacent
angles or nonadjacent angles.
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Adjacent angles are two angles that
share a common vertex and side, but
have no common interior points. (Write
that into your foldable)
1.5 Describe Angle Pair
Relationships
Look at your notes
Linear Pair
Adjacent