Download 1.5 - Exploring Angle Pairs.notebook

1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
9/8: Warm Up
1. What are two other names for <2?
2. If m<WXY = 160o, what are m<WXZ and m<ZXY?
(5x + 8)o
(7x ­ 4)
o
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
1.5: Exploring Angle Pairs
Date: 9/8
Types of Angles
Definition
Example
Adjacent angles are two
coplanar angles with a
common side, a common
vertex, and no common interior
points.
Vertical angles are two angles
whose sides are opposite rays.
Complementary angles are two
angles whose measures have a
sum of _______. Each angle is
called the complement of the
other.
Supplementary angles are two
angles whose measures have a
sum of ________. Each angle is
called the supplement of the
other.
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
Ex 1). Use the diagram. Is each statement true? Explain.
a). <PAL and <LAM are adjacent angles: ___________________________
____________________________________________________________________
b). <PAO and <NAM are vertical angles: ____________________________
____________________________________________________________________
c). <PAO and <NAO are supplementary: ____________________________
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
There are some relationships you can assume to be true from an
unmarked diagram and some you cannot.
You CAN assume the following:
following:
1. ____________________________
You CANNOT assume the
1. ____________________________
2. ____________________________
2. ____________________________
3. ____________________________
3. ____________________________
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
Ex 2). What can you conclude from the information in the diagram?
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
A linear pair is a pair of adjacent angles whose noncommon sides are
opposite rays. The angles of a linear pair form a straight line.
Postulate 1­9: Linear Pair Postulate
If two angles form a linear pair, then they are supplementary.
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
Ex 3). <ABC and <DBC are a linear pair, m<ABC = 3x + 19, and
m<DBC = 7x – 9. What are the measures of <ABC and <DBC?
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
An angle bisector is a ray that divides an angle into two congruent
angles.
Ex 4). bisects <JLN. If m<JLM = 42, what is m<JLN?
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1.5 ­ Exploring Angle Pairs.notebook
September 08, 2015
Homework:
pg. 40 #1 – 28
no book needed the rest of the week
Quiz #1 (1.1 ­ 1.5) ­ Friday
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